The perimeter of a sector of a circle (sum of its two radii and the included arc) is 40 cm

MATHEMATICS · Multi-part · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

The perimeter of a sector of a circle (sum of its two radii and the included arc) is 40 cm. The radius of the circle is 6 cm. Use

\pi = \tfrac{22}{7}

. (a) Find the measure of the central angle of the sector. (b) Find the area of the sector.