Question

Express answers in simplest exact form.

What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot?

A = ? PI sq. ft.

Answer 1

Area of a circle = \[\pi r ^{2}\]

in this case, r = 1. so the complete area is pi square feet.

The arc of 90 degrees describes 1/4 of a complete circle, so the area of that sector is (Area of whole circle)/4

or, pi/4 square feet

Answer 2

so i put 4 in and its wrong i even multiplied 4*3.14

Answer 3

????

Answer 4

answer is
π 3.14
are of sector with arc equal to 90 deg = ----- or ------ = 0.785 = 0.79 sq.ft.
4 4

Answer 5

I thought you wanted the answer in terms of pi.

which would be pi/4. If you want it in rational numbers, it's 0.7853981633974483096156608458198757210492923498437764552437....