The are of a sector of a circle is 308 cm2, with the central angle measuring 45o. The radius of the circle is :
Answer & explanation
Correct answer: option 4
We know that,
Area of a sector = \(\frac{ θ }{360° }\) × πr2
We have,
The area of a sector of a circle = 308 cm2
The angle of the sector = 45°
According to the question,
\(\frac{ 45°}{360°}\) × πr2 = 308
= πr2 = 308 × 8
= \(\frac{22}{7}\) × r2 = 2464
= r2 = 784
= r = 28cm