Question

The radius of a circle is 2 inches. What is the area of a sector bounded by a 45° arc?

Answer 1

a = π/2 in² Exact answer

a = 1.5707963268 in² Decimal approximation

Explanation:

a = (∅/360) * πr²

a = (45/360) * π(4)

a = π/2 in² Exact answer

a = 1.5707963268 in² decimal approximation

Answer 2

Explanation:

Area = angle / 360 * pi * r^2

angle = 45

r = 2

pi = 3.14

Area = 45 / 360 * 3.14 * 2^2

Area = 365.2 / 360

Area = 1.57 square inches.