Embibe Experts Solutions for Chapter: Circles, Exercise 1: Kerala Board-2019

In the figure, the chord $\mathrm{BD}$ is perpendicular to the diameter $\mathrm{AC}$. Find the measure of $\angle \mathrm{BAC}$. (in $°$).

In the figure, the chord $\mathrm{BD}$ is perpendicular to the diameter $\mathrm{AC}$. If the measure of $\angle BCD$ is $k°$ then find the value of $k$.

In the figure, the chord $\mathrm{BD}$ is perpendicular to the diameter $\mathrm{AC}$. If the measure of $\angle ADC$ is $k°$ then find the value of $k$.

In the figure, the chord $\mathrm{BD}$ is perpendicular to the diameter $\mathrm{AC}$. Find the measure of $\angle CDM$. (in $°$).

In the figure, the chord $\mathrm{BD}$ is perpendicular to the diameter $\mathrm{AC}$. Find the measure of $\angle BAP$. (in $°$).

A circular sheet of paper is divided into two sectors. The central angle of one of them is $160°$. These sectors are bent into cones of maximum volume. If the radius of the small cone is $8 \mathrm{cm}$, what is the radius of the other in $\mathrm{cm}$?

A circular sheet of paper is divided into two sectors. The central angle of one of them is $160°$. These sectors are bent into cones of maximum volume. If the radius of the small cone is $8 \mathrm{cm}$, what is the slant height of the cones in $\mathrm{cm}$?

Draw a rectangle of area $12$ square centimetres. Draw a square having the same area.