Loading [MathJax]/jax/output/HTML-CSS/jax.js
Home / Aptitude Tests / Mathematics / A chord of a circle ...
A chord of a circle subtends an angle of 120° at the cen...

A chord of a circle subtends an angle of 120° at the centre of a circle of diameter 43cm. Calculate the area of the major sector.

A.

32π cm2

B.

4π cm2

C.

8π cm2

D.

16π cm2

Correct answer is C

Angle of major sector = 360° - 120° = 240°

Area of major sector : θ360×πr2

r = 432=23cm

Area : 240360×π×(23)2

= 8πcm2