In a circle of radius cm

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

Problem

In a circle of radius

r

cm, two sectors subtend central angles of 30° and 50° respectively. (i) Explain why the ratio of the areas of the two sectors is

30:50

. (ii) If the area of the

30^{\circ}

sector is 77 cm

^{2}

, find the value of

r

. (iii) Hence determine the area of the

50^{\circ}

sector. Take

\pi = \dfrac{22}{7}