The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 40⁰ and angle PAQ =...

The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 40⁰ and angle PAQ = 70⁰, and PA = AQ = 8cm.


Use the diagram to calculate to two d.p
(a) The length PQ
(b) The length PB
(c) Area of minor segment of circle centre A
(d) Area of minor segment of circle centre B
(e) The area of shaded region.

---

---

Wilfykil answered the question on September 6, 2019 at 05:53

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000 respectively (Solved)
  

  Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
  respectively to start a business of a matatu plying Mbumbuni – Machakos route. The matatu carries 14
  passengers with each paying Sh. 250. The matatu makes two round trips each day and ever full. Each day
  Sh. 6000 is used to cover running costs and wages.
  
  (a) Calculate their net profit per day.
  (b) The matatu works for 25 days per month and is serviced every month at a cost of KSh.10, 000. Calculate their monthly profit in June.
  (c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution. Calculate Muthoka’s share in the month of July
  (d) The matatu developed mechanical problems and they decided to sell it through an agent who charged a commission of 5% on selling price. Each partner received KSh. 475,000 from the agent after he had taken his commission. Determine the price at which the agent sold the matatu.

  Date posted: September 6, 2019 .    Answers (1)

• In the figure below O is the centre of circle PQRS. (Solved)
  

  In the figure below O is the centre of circle PQRS. angle PTS = 56⁰ and angle PQS = 28⁰ and TPQ is a straight line
  
  
  Find:
  (a) angle TSP
  (b) angle PRQ

  Date posted: September 6, 2019 .    Answers (1)

• Mutua bought 8 pairs of trousers and six shirts at Sh. 4160. (Solved)
  

  Mutua bought 8 pairs of trousers and six shirts at Sh. 4160. Had he bought twice as many shirts and half
  as many trousers, he would have saved Sh. 160. Find the cost of each item.

  Date posted: September 6, 2019 .    Answers (1)

• Use a calculator to work out. (Solved)
  

  Use a calculator to work out.
  

  Date posted: September 6, 2019 .    Answers (1)

• The figure below AB//CD, AD and BC intersect at T. (Solved)
  

  The figure below AB//CD, AD and BC intersect at T. Given that AT:TD = 1:3 and CB = 12cm.
  Calculate the length of TB
  

  Date posted: September 6, 2019 .    Answers (1)

• Solve for x in the equation (Solved)
  

  Solve for x in the equation
  

  Date posted: September 5, 2019 .    Answers (1)

• In the figure below PQRS is a rectangle in which PS = 10cm and PQ = 6cm (Solved)
  

  In the figure below PQRS is a rectangle in which PS = 10cm and PQ = 6cm. M and N are midpoints of
  QR and RS respectively. Find the area of the shaded part.
  

  Date posted: September 5, 2019 .    Answers (1)

• Solve the following inequalities and represent the solution on a number line and hence state the integral values of x (Solved)
  

  Solve the following inequalities and represent the solution on a number line and hence state the integral
  values of x
  

  Date posted: September 5, 2019 .    Answers (1)

• A line L passes through point (3, 1) and is perpendicular to the line 2y = 4x + 5. (Solved)
  

  A line L passes through point (3, 1) and is perpendicular to the line 2y = 4x + 5. Determine the equation
  of L

  Date posted: September 5, 2019 .    Answers (1)

• Evaluate: (Solved)
  

  Evaluate:
  

  Date posted: September 5, 2019 .    Answers (1)

• Without using a calculator evaluate (Solved)
  

  Without using a calculator evaluate
  

  Date posted: September 5, 2019 .    Answers (1)

• The displacement of a particle S metres, t seconds after passing a fixed point O is given by S=3+2t-5t² (Solved)
  

  The displacement of a particle S metres, t seconds after passing a fixed point O is given by
  S=3+2t-5t²
  
  Calculate:
  (a) The displacement of the particle 2 seconds later
  (b) The time taken for the particle to return to O
  (c) The maximum displacement of the particle
  (d) The initial velocity of the particle
  (e) The acceleration of the particle after t seconds

  Date posted: September 5, 2019 .    Answers (1)

• The figure below shows a prism whose cross section is a regular pentagon of side 6cm and whose length is 20cm (Solved)
  

  The figure below shows a prism whose cross section is a regular pentagon of side 6cm and whose length is 20cm joined to a cylinder of radius 14cm and height 6cm to form a the model of a solid
  
  
  (a) Calculate the cross section area of the pentagon
  (b) Calculate the total volume of the solid
  (c) The model represents a pillar of total height 5.2m, calculate the volume of the actual solid
  in m³

  Date posted: September 5, 2019 .    Answers (1)

• A matatu left Oyugis for Homabay town 51km away at an average speed of 48km/h at 7.00am. (Solved)
  

  A matatu left Oyugis for Homabay town 51km away at an average speed of 48km/h at 7.00am. At 7.30am a Boda boda left Homabay for Oyugis travelling along the same route at an average speed of 60km/h
  
  (a) The time when Boda boda meet the matatu
  (b) How far from Oyugis did the Boda boda meet the matatu
  (c) After meeting the Boda boda the matatu stopped for fifteen minutes before resuming the journey. At what speed should it travel then to reach Homabay at the same time when the Boda boda reached Oyugis

  Date posted: September 5, 2019 .    Answers (1)

• The table shows the marks obtained by 40 candidates in an examination (Solved)
  

  The table shows the marks obtained by 40 candidates in an examination
  
  
  (a) Find the value of x
  (b) On the grid provided below draw a histogram to represent the data
  (c) By drawing a straight line on the graph above determine the median mark

  Date posted: September 5, 2019 .    Answers (1)

• Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158^o (Solved)
  

  Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158^o, Nyawita is to the west of Asumbi and 20km away while An’giro is to the South of Nyawita and on a bearing of 240^o from Wiobiero.
  
  (a) Using a scale of 1:400,000 draw a scale diagram showing the relative positions of the four schools.
  (b) Using your diagram determine the distance and bearing of Ang’iro from Asumbi
  (c) A mast is to be erected so that its equidistant from Asumbi and Nyawita and 20km from Ang’iro on the same diagram show the position of the mast and find its distance from Wiobiero

  Date posted: September 5, 2019 .    Answers (1)

• Mr. Ombogo the principal of Chiga secondary would wish to cover the floor of the new administration block using the square tiles. (Solved)
  

  Mr. Ombogo the principal of Chiga secondary would wish to cover the floor of the new administration block using the square tiles. The floor is a rectangle of sides 12.8m by 8.4m. Find the area of each of the largest tiles which can be used to fit exactly without breaking

  Date posted: September 5, 2019 .    Answers (1)

• A train of length 80m crosses a bridge 20m long in 5 seconds. (Solved)
  

  A train of length 80m crosses a bridge 20 m long in 5 seconds. Calculate the average speed of the train in km/h

  Date posted: September 5, 2019 .    Answers (1)

• Given that sin (3x-35)^o – cos (x+20)^o= 0 and x is an acute angle (Solved)
  

  Given that sin (3x-35)^o – cos (x+20)^o= 0 and x is an acute angle, find its value

  Date posted: September 5, 2019 .    Answers (1)

• The diagram below shows the sketch of the curve y=x²-x-6 (Solved)
  

  The diagram below shows the sketch of the curve y=x²-x-6
  
  
  Using the mid-ordinate rule with five rectangles, calculate the area of the shaded region

  Date posted: September 5, 2019 .    Answers (1)