Kerala Board Solutions for Chapter: Circle Measures, Exercise 6: Exercise 6

What is the area of a sector of central angle $120°$ in a circle of radius $3$ centimetres? What is the area of a sector of the same central angle in a circle of radius $6$ centimetres? Write the answers in ${\mathrm{cm}}^2$. Take $\mathrm{\pi }=3.14$

Calculate the area of the green-colored part of this picture. 

Centered at each corner of a regular hexagon, a part of a circle is drawn and a figure is cut out as shown below:

What is the area of this figure? Write the answer without unit and up to $3$ decimal places. Take $\mathrm{\pi }=3.14, \sqrt{3}=1.732$.

The picture below shows two circles, each passing through the center of the other:

Calculate the area of the region common to both. Write the answer in ${\mathrm{cm}}^2$.

The figure shows three circles drawn with their centres on each vertex of an equilateral triangle and passing through the other two vertices. Find the area of the region common to all three. Take $\sqrt{3}=1.732$, $\mathrm{\pi }=3.14$