An arc of a circle of radius 7.5cm is 7.5cm long. Find , correct to the nearest degree , the angle which are the arc subtends at the centre of the circle  [Take$\pi =\tfrac{22}{7}$]

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

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

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

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

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

In a circle radius r cm, a chord is  long 10cm from the centre of the circle. Find, correct to the nearest cm, the value of r

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

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

In the diagram, PTR is a tangent to the circle centre O, if the angle TON  = 108^o. Calculate the size of angle PTN