Question

Choose the correct words to fill in the blanks:

In circle C below, mFED = ____., because FD is a ____.

360°; arc

145°; radius

180°; radius

180°; diameter

Answer 1

Answer: Divide the measure of the arc by 360

Explanation:

we can understand it with help of example.

Let there is a circle O in which An arc AC made a central angle 60°

Now the area in fraction = 60°/360°= 1/6

Because when we divide the circle in 6 parts then the area of each part = 1/6 of the area of the circle.

Therefore the central angle by this area is also 1/6 of the total central angle of the circle which is 360°

Thus, the angle made by this = 360°/6 = 60°