Circle C

is a different circle with radius 6
and arc EF.
Angle ECF
is congruent to angle BAD.
What is the length of arc EF?
Enter your answer as a number, like this: 42.25

1 answer

The length of arc EF can be calculated using the formula for arc length:

Arc length = 2πr (angle/360)

Substitute the values given:
Arc length = 2π(6) (angle ECF/360)

Since angle ECF is congruent to angle BAD, we can use the value of angle BAD which is 45 degrees.

Arc length = 2π(6) (45/360)
Arc length = 12π (45/360)
Arc length = 12π (1/8)
Arc length = 12π/8
Arc length = 1.5π

Therefore, the length of arc EF is approximately 4.71.