Help!! what is the area of the sector shown in the diagram below?

Question

asked Oct 19, 2021 189k views

1 Answer

Johannes Wanzek · Answer 1 · 2021-10-23T19:57:15+0000

Option B

The area of sector is 34.2 square centimeter

Solution:

We have to find the area of sector

From given figure in question

Radius = 14 cm

central angle = 20 degrees

The area of sector when angle is given in degrees is given as:

$A=(\theta)/(360) * \pi r^(2)$

Where, "r" is the radius and
$\pi = 3.14$

Substituting the given values,

$A = (20)/(360) * 3.14 * (14)^2\\\\A = (1)/(18) * 3.14 * 196\\\\A = (615.44)/(18)\\\\A = 34.19 \approx 34.2$

Thus area of sector is 34.2 square centimeter