Question

find the area of shaded region in figure where radius of two concentric circle with centre O are 7cm and 14cm. and angle aoc is 60°

Answer 1

hope this helps u...

Answer 2

Answer:

The area of shaded region is 385 cm².

Step-by-step explanation:

Given information: Radius of two circles are 7 cm and 14 cm. Angle AOC is 60°.

The length of major arc AC is

$360-60=300$

The area of shaded region is the difference between area of major sectors.

$A=\frac{\theta}{360}\pi R^2-\frac{\theta}{360}\pi r^2$

$A=\frac{\theta}{360}\pi \times [R^2-r^2]$

Radius of two circles are 7 cm and 14 cm and central angle of major arc is 300°.

$A=\frac{300}{360}\pi \times [(14)^2-(7)^2]$

$A=\frac{5}{6}\times \frac{22}{7}\times (196-49)$

$A=\frac{5}{6}\times \frac{22}{7}\times 147$

$A=\frac{5}{6}\times 22\times 21$

$A=385$

Therefore the area of shaded region is 385 cm².