Maharashtra Board Solutions for Chapter: Circle, Exercise 1: Practice set 3.1

In the adjoining figure the radius of a circle with centre $\mathrm{C}$ is $6\mathrm{cm},$ line $\mathrm{AB}$ is a tangent at $\mathrm{A}$. If the measure of $\angle \mathrm{CAB}$ is $k$ degree. Find the value of $k$.

In the adjoining figure the radius of a circle with centre $\mathrm{C}$ is $6 \mathrm{cm},$ line $\mathrm{AB}$ is a tangent at $\mathrm{A}$. If the distance of point $\mathrm{C}$ from line $\mathrm{AB}$ is $k$ centimeter? Find the value of $k$.

In the adjoining figure the radius of a circle with centre $\mathrm{C}$ is $6\mathrm{cm},$ line $\mathrm{AB}$ is a tangent at $\mathrm{A}$. $\mathrm{d}(\mathrm{A},\mathrm{B})=6\mathrm{cm}$, If $\mathrm{d}(\mathrm{B},\mathrm{C})$ is $k\sqrt[]{2}$ centimetre then find the value of $k$.

In the adjoining figure the radius of a circle with centre $\mathrm{C}$ is $6\mathrm{cm},$ line $\mathrm{AB}$ is a tangent at $\mathrm{A}$ and $d\left(A,B\right)=6 cm$. If the measure of $\angle \mathrm{ABC}$ is $k$ degree then find the value of $k$.

In the adjoining figure, $\mathrm{O}$ is the centre of the circle. From point $\mathrm{R}$ segment $\mathrm{RM}$and segment $\mathrm{RN}$ are tangent segments touching the circle at $\mathrm{M}$ and $\mathrm{N}$. If $\left(\mathrm{OR}\right)=10 \mathrm{cm}$ and radius of the circle$=5 \mathrm{cm}$, If the length of each tangent segment is $k\sqrt{3} \mathrm{cm}$ then find the value of $k$.

In the adjoining figure, $\mathrm{O}$ is the centre of the circle. From point $\mathrm{R}$ segment $\mathrm{RM}$ and segment $\mathrm{RN}$ are tangent segments touching the circle at $\mathrm{M}$ and $\mathrm{N}$. If $\left(\mathrm{OR}\right)=10 \mathrm{cm}$ and radius of the circle $=5 \mathrm{cm}$. If is the measure of $\angle \mathrm{MRO}$ is $k°$, then find the value of $k$.

In the adjoining figure, $\mathrm{O}$ is the centre of the circle. From point $\mathrm{R}$ segment $\mathrm{RM}$ and segment $\mathrm{RN}$ are tangent segments touching the circle at $\mathrm{M}$ and $\mathrm{N}$. If $\left(\mathrm{OR}\right)=10 \mathrm{cm}$ and radius of the circle $=5 \mathrm{cm}$, if the measure of $\angle \mathrm{MRN}$ is $k$ degree, then find the value of $k$.

 If the distance between two parallel tangents of a circle having radius $4.5 \mathrm{cm}$ is $k \mathrm{cm}$ then, find the value of $k$.