Trig: a sector of a circle has area 25 cm2 and centralangle
0.5 radians. find its radius and arc length.

 Radius = 10 cm and Arc length = 5 cm

Step-by-step explanation:

The area of a sector with radius r and central angle (In radian) is given by :-

Given : A sector of a circle has area and central angle  0.5 radians.

Let r be the radius , then we have

Thus, radius = 10 cm

The length of arc is given by :-

Hence, the length of the arc = 5 cm

i believe the answer is letter c) 8

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi