Class 10 Maths · Areas Related to Circles · NCERT Exercise 11.4 · Question 16

Areas Related to Circles Medium

The central angles of two sectors of circles of radii 7 cm and 21 cm are respectively

12 0^{\circ}

and

4 0^{\circ}

. Find the areas of the two sectors as well as the lengths of the corresponding arcs. What do you observe?

Answer

A_{1} = \frac{154}{3} \approx 51.33 cm^{2}

A_{2} = 154 cm^{2}

;

l_{1} = l_{2} = \frac{44}{3} cm

. The arcs are equal in length though the areas differ.

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