Asked by shanarie
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
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
Answers
There are no human answers yet.
Answered by
GPT 3.5
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.
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.
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