Circle Geometry

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Question 45

waecmaths question: 

XOY is a sector of a circle centre O of radius 3.5cm which subtends an angle of 144o at the centre. Calculate, in terms of the π, the area of the sector.

Question 42

waecmaths question: 

In the diagram PQRS is a circle, $\left| PT \right|=\left| QT \right|$ and $\angle QPT={{70}^{\circ }}$. What is the size of $\angle PRS$

Question 30

waecmaths question: 

An arc of a circle of radius 14cm subtends angle 300o at the centre. Find the perimeter of the sector formed by the arc (Take$\pi =\tfrac{22}{7}$)

Question 23

waecmaths question: 

In the diagram O is the centre of the circle, $\angle MON={{80}^{\circ }}$ $\angle LMO={{10}^{\circ }}$ and $\angle LNO={{15}^{{}^\circ }}$.Calculate the value of x

Question 10

waecmaths question: 

In the diagram, PR is a diameter, $\angle PRQ={{(3x-8)}^{\circ }}$and$\angle RPQ={{(2y-7)}^{\circ }}$. Express x in terms of y

Question 20

waecmaths question: 

In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

Question 19

waecmaths question: 

In the diagram O is the centre of the circle $\overline{RT}$is a diameter, $\angle POT={{33}^{\circ }}$ and $\angle TOS={{76}^{\circ }}$. Use the diagram to answer question 19 and 20

19. Calculate the value of angle PTR

 

Question 16

waecmaths question: 

In the diagram, O is the centre of the circle If PQ $PQ\parallel RS$and $\angle ONS={{140}^{\circ }}$find the size of $\angle POM$

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