In a circle of radius

MATHEMATICS · Subjective · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

10.5\,\text{cm}

, the area of a sector exceeds the length of its arc by

44\,\text{cm}^2

. Taking

\pi = \frac{22}{7}

, determine, correct to the nearest degree, the measure of the central angle of the sector.