In figure $∆QRS$ is an equilateral triangle. Prove that, $arcRS\cong arc\mathrm{QS}\cong arc\mathrm{QR}$

 

In figure $∆QRS$ is an equilateral triangle. Prove that, $\mathrm{m}(arc\mathrm{QRS})=240°$

In figure chord $AB\cong$ chord $\mathrm{CD}$
Prove that, $arc\mathrm{AC}\cong arc\mathrm{BD}$

In the figure in a circle with centre $\mathrm{O}$ length of chord $\mathrm{AB}$ is equal to the radius of the circle. If the measure the $\angle \mathrm{AOB}$ is $k$ degree then find the value of $k$.

In the figure in a circle with centre $\mathrm{O}$ length of chord $\mathrm{AB}$ is equal to the radius of the circle. If the measure of the $\angle \mathrm{ACB}$ is $k$ degree then find the value of $k$.

In the figure in a circle with centre $\mathrm{O}$ length of chord $\mathrm{AB}$ is equal to the radius of the circle. If the measure of the $arc\mathrm{AB}$ is $k°$, then find the value of $k$.

In the figure in a circle with centre $\mathrm{O}$ length of chord $\mathrm{AB}$ is equal to the radius of the circle. If the measure of the $arc\left(ACB\right)$ is $k°$, then find the value of $k$. 

In the figure, quadrilateral $\mathrm{PQRS}$ is cyclic. Side $\mathrm{PQ}\cong$Side $\mathrm{RQ}.\angle \mathrm{PSR}=110°$ if the measure of $\angle \mathrm{PQR}$ is $\mathrm{k}°$, then find the value of $\mathrm{k}$.

In the figure $\square \mathrm{PQRS}$ is cyclic. Side $\mathrm{PQ}\cong$Side $\mathrm{RQ}.\angle \mathrm{PSR}=110°$ find $\mathrm{m}(\mathrm{arc} P\mathrm{QR})$