What is the radius of a circle with a central angle of 4π7 radians that intercepts an arc of length 12π inches?

1 answer:

3 0

Radian measure is given by dividing the length of an arc by the radius of a given circle. Such that an arc that subtends an angle of 1 radian to the center of a circle is equivalent to the radius of the circle.
Therefore; θ = s/r where θ is the angle subtended in radians, s is the length of the arc and r is the radius of the circle.
Hence; r = s/θ
= 12π ÷ (4π/7)
= 12 × (7/4)
= 21 inches

You might be interested in

Sophia's parents spent $100 for

Stolb23 [73]

Uh... this question is quite hard... i can’t solve it...!

OKAY fine whatever

100 - 75 = $25

7 0

3 years ago

Read 2 more answers

Find the midpoint of A and B where A has coordinates (2,7) and B has coordinates (6,3).

Veronika [31]

Given that the coordinates of the point A is (2,7) and the coordinates of the point B is (6,3)

We need to determine the midpoint of A and B

Midpoint of A and B: