The measure of angle pqr is 75°. the length of radius qr is 8 inches. what is the approximate area of sector pqr? use 3.14 for pi .

  about 41.9 square inches

Step-by-step explanation:

The area of a sector of radius r and central angle α is given by ...

  A = (1/2)r^2·α

where α is in radians.

The angle 75° is equivalent to 75°·(π/180°) = 5π/12 radians, so the area is ...

  A = (1/2)(8 in)^2·(5/12)·3.14 = (40/3)·3.14 in^2 = 41.86_6 in^2 ≈ 41.9 in^2

Comment on the precision of the answer

The use of a 3-significant-digit value for pi means that the answer must be rounded to 3 significant digits. If the 8-inch value for radius is really only accurate to ±1/2 inch, then the answer must be rounded to 1 significant digit: 40 in^2.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.