Kerala Board Solutions for Chapter: Circle Measures, Exercise 3: Exercise 3

In the picture below, a regular hexagon is drawn with its vertices on a circle. Calculate the perimeter of the circle in $\mathrm{cm}$. Take $\mathrm{\pi }=3.14$.

In the picture below, a square is drawn with its vertices on a circle. Calculate the perimeter of the circle.

In the picture below, a rectangle is drawn with its vertices on a circle. If the perimeter of the circle is $k \mathrm{cm}$ (in decimal) then find $k$. Take $\mathrm{\pi }=3.14$

An isosceles triangle with its vertices on a circle is shown in this picture. What is the perimeter of the circle? Write the answer in $\mathrm{cm}$. Take $\mathrm{\pi }=3.14$

In the picture below, the centres of the circles are on the same line. The small circles are of the same diameter.

Prove that the perimeter of the large circle is the sum of the perimeters of the small circles.

In the picture below, the centres of the circles are on the same line. The small circles are of the same diameter.

Prove that the perimeter of the large circle is the sum of the perimeters of the small circles.

In the picture below, the centers of the circles are on the same line. Among the three circles inside the biggest circle, the radius of the circle at the rightmost side is twice that of the middle one. And, the radius of the middle is twice that of the smallest at the leftmost side.

Prove that the perimeter of the large circle is the sum of the perimeters of the small circles.

In this picture, the circles have the same centre and the line drawn is a diameter of the large circle. How much more is the perimeter of the large circle than the perimeter of the small circle?