Question

The circumference of a circle is 400 yards. If angle CAF is a right angle, how far is it from point C to F on the circle?

A. 63.66 yards
B. 127.32 yards
C. 254.64 yards
D. 400 yards

Answer 1

The distance from point C to F on the circle is 100 yards.

Step-by-step explanation:

To find the distance from point C to F on the circle, we need to find the length of the arc CF. We know that the circumference of the circle is 400 yards. Since there are 360 degrees in a circle, the angle CAF is 90 degrees. To find the length of the arc CF, we can use the formula:

arc length = (angle in degrees / 360) * circumference

arc CF = (90 / 360) * 400 = 100 yards

So, the distance from point C to F on the circle is 100 yards.