A sector of a circle has an area of 55cm². IF the radius of the circle is 10cm , calculate the angle of the sector.[take $\pi =\tfrac{22}{7}$]

In the diagram above, O is the centre of the circle $\angle UOT=70^\circ$ and $\angle RST=100^\circ$ Calculate $\angle RUO$

A chord of a circle subtend an angle of 60^oat the centre of a circle of radius 14cm. Find the length of the chord

P, R and S lies on a circle centre O as shown above, while Q lies outside the circle. Find $\angle$PSO

An arc of a circle of length 22cm subtends an angle of 3x^o at the centre of the circle. Find the value of x if the diameter of the circle is 14cm. [$\pi =\tfrac{22}{7}$]   

In the diagram above, PQR is a straight line and PS is a straight line and PS is a tangent to the circle QRS with $\left| PS \right|=\left| SR \right|$ and $\angle SPR={{40}^{o}}$.Find $\angle PSQ$

XYZ is a circle centre O and radius 7cm.Find the area of the shaded portion.

 In the diagram above, O is the centre of the circle, POM is a diameter and $\angle MNQ={{42}^{\text{o}}}$. Calculate $\angle QMP$  

An arc of a circle subtends an angle of 30^oon the circumference of radius 21cm. Find the length of the arc. [take $\pi =\tfrac{22}{7}$]

In the diagram above, XZ is the diameter of the circle XYZW with center O and radius $\tfrac{15}{2}cm$. If XY =12 cm, find the area of the triangle XYZ