Jose Paul Solutions for Chapter: Chords and Angles of Circles, Exercise 3: REVISION EXERCISE

If $OA=13 \mathrm{cm} \text{and} OP=5 \mathrm{cm}$ then find the length of the segment $\overline{AB}$.

In the given figure, if $AB=16 \mathrm{cm} \text{and} OA=10 \mathrm{cm}$ then, if the length of the line segment $\overline{OM}$ is $k \mathrm{cm}$ then find $k$.

In a circle whose radius is $10 \mathrm{cm}$, a chord is $6 \mathrm{cm}$ from the centre. If the length of the chord is $\mathrm{k} \mathrm{cm}$, then find the value of $\mathrm{k}$.

If the radius of a circle $OA$ is $k \mathrm{cm}$  in which a chord of $8 \mathrm{cm}$ is at a distance $3 \mathrm{cm}$ from the centre. 

$PQR$ is an equilateral triangle in a circle with centre $O$ as shown in the figure. If $\angle POR=k°$, then find the value of $k$.

A regular polygon is inscribed in a circle. If the central angle formed by each side is $40°$, what is the number of sides of the polygon?

Two arcs $\stackrel{⏜}{PQ}$ and  $\stackrel{⏜}{AB}$ subtend $70°$ each at the centre of a circle. The length of the arc $\stackrel{⏜}{AB}$ is $14 \mathrm{cm}$. If the length of arc $\stackrel{⏜}{PQ}$  is $k \mathrm{cm}$, then find $k$.

The length of two arcs $\stackrel{⏜}{AB}$ and $\stackrel{⏜}{CD}$ of a circle with centre $O$ is in the ratio $1:2$. The measure of $\angle AOB$ is $60°$. If $\angle COD=k°$, then find the value of $k$.