Question

Circle D has a radius of 21 millimeters and central angle, ∠EDF, which measures 60°. Find the exact length of . mm 7mm 14mm 42mm

Answer 1

The length of the arc is 7πmm ....

Explanation:

The radius of circle= 21 mm

We know that the formula for finding the circumference of the circle is:

C = 2πr

Put the value of r = 21 in the formula:

C = 2π(21)

C = 42πmm

We know that the circumference of the complete circle is 360°.

360° subtends the complete circle of length equal to 42πmm

Now by doing a proportion we find the length of arc with a central angle of 60°

42πmm/360° = x mm/60°

Perform cross multiplication:

x = 42π* 60/360

x= 7πmm

Thus the length of the arc is 7πmm ....