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lyudmila [28]
3 years ago
9

A circle has a radius of 7.5 centimeters and a central angle AOB that measures 90°. What is the length of the intercepted arc AB

?
Mathematics
2 answers:
Kruka [31]3 years ago
7 0
Let a be the arc length...

a/(2πr)=90/360

a/(2πr)=1/4

a=πr/2 and r=7.5 so

a=3.75π cm

a≈11.78 cm (to the nearest one hundredth of a cm)
lora16 [44]3 years ago
6 0
Arc length = radius * central angle (radians)
Arc length = 7.5 * PI / 2
<span><span><span>Arc length = 11.780972451 centimeters
 </span></span></span>

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