B Nirmala Shastry Solutions for Exercise 1: EXERCISE 15.1

With the same centre $O$, draw three circles having radii $2.5 \mathrm{cm}, 3.5 \mathrm{cm}$ and $4.5 \mathrm{cm}$. What is the special name given to such circles?

Draw a circle with centre $O$. Draw another circle whose boundary passes through $O$.

Draw a circle of radius $4.2 \mathrm{cm}$. Mark points $P, Q$ and $R$ such that $P$ is on the circle.

Draw a circle of radius $4.2 \mathrm{cm}$. Mark points $P, Q$ and $R$ such that $Q$ is the interior of the circle.

Draw a circle of radius $4.2 \mathrm{cm}$. Mark points $P, Q$ and $R$ such that $R$ is in the exterior of the circle.

Draw a circle of radius $3.2 \mathrm{cm}$. Mark a point A on it. Draw another circle with $A$ as centre and radius $3.2 \mathrm{cm}$. Do these circles intersect at more than one point?

Draw a circle of radius $5 \mathrm{cm}$. Mark three points $P, Q$ and $R$ at a distance of $4.5 \mathrm{cm}, 5 \mathrm{cm}$ and $5.5 \mathrm{cm}$ from the centre of the circle, respectively. Name the points that are inside, outside and on the boundary of the circle.

Draw a circle and any two of its diameters. Name the figure obtained by joining the end points of these diameters.