8. Determine the area of a sector with a central angle of 42° in a circle with radius 3 inches. NEED IT ASAP

Question

asked Dec 12, 2022 143k views

1 Answer

Gergely Kovacs · Answer 1 · 2022-12-17T10:26:46+0000

Answer:

$\boxed {\boxed {\sf A \approx 3.3 \ in^2}}$

Explanation:

Since we are given the central angle in degrees, we should use the following formula for sector area.

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

The angle is 42 degrees and the radius is 3 inches. Therefore,

$\theta= 42 \\r=3 \ in$

$A=\frac {42}{360} * \pi (3 \ in)^2$

Solve the exponent.

$A=\frac {42}{360} * \pi (9 \ in^2)$

Multiply all three numbers together.

$A= 0.116666666667* 3.14159265359 * 9 \ in^2$

$A=3.29867228627 \ in^2$

Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.

$A \approx 3.3 \ in^2$

The area of the sector is approximately 3.3 square inches.