For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le
ngth of
9π
2
feet?
1 answer:
Answer:
135 degrees
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Remember that the circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the measurement of the central angle (in degrees) that intercepts an arc with a length of 9π/2 ft
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