Question

SOMEONE PLEASE HELP ITS DUE TONIGHT EXPLANATION = BRAINLIEST

Answer 1

Given:

Radius of the circle = 4 meters

Measure of arc = 135 degrees

To find:

The area of the sector bounded by the given arc.

Solution:

Formula for area of a sector is:

$A=\pi r^2\times \dfrac{\theta}{360^\circ}$

Where, r is the radius and $\theta$ is the central angle or measure of intercepted arc.

Putting $r=4,\ \theta =135^\circ$ in the above formula, we get

$A=\pi \times (4)^2\times \dfrac{135^\circ}{360^\circ}$

$A=\pi \times 16\times \dfrac{3}{8}$

$A=\pi \times 2\times 3$

$A=6\pi$

Therefore, the exact area of the given sector is $6\pi$ square meters.