Question

1. The measure of PQR is 75°. The length of radius QR is 7 inches. What is the area of sector PQR? (Use 3.14 for .)

A. 4.58 in²

B.64.14 in²

C.32.05 in²

D.9.16 in²

Answer 1

i think the answer is D

Hope it helps

Answer 2

Since the radius of this circle is 7 units, the area of sector PQR bounded by a 75° arc is: C. 32.05
`in^2`.

In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:

Area of sector = π
`r^2` × θ/360

Where:

• r represents the radius of a circle.
• θ represents the central angle.

Note: The measure of an intercepted arc is equal to the central angle of a circle.

By substituting the given parameters into the area of a sector formula, we have the following;

Area of sector = π
`r^2` × θ/360

Area of sector PQR = 3.14 ×
`7^2` × 75/360

Area of sector PQR = 3.14 × 49 × 5/24

Area of sector PQR = 3.14 × 245/24

Area of sector PQR = 32.05 square inches.