A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
Using 3.14 for
inches
what is the length of the radius of the circle?

The length of the radius of the circle is 75 inches

Step-by-step explanation:

∵ A circle has a central angle measuring 90°

∵ The measure of the circle is 360°

- Divide the measure of the arc by the measure of the circle

  to find that arc is represents what fraction of the circle

∵ 90 ÷ 360 =

∴ The arc represents   of the circle

∵ The length of the circle = 2πr

∵ The arc represents   of the circle

∴ The length of the arc = × 2πr

∴ The length of the arc = πr

∵ The length of the arc is 117.75 inches

- Equate the expression of the length of the arc by 117.75

∴ πr = 117.75

∵ π = 3.14

∴   (3.14) r = 117.75

∴ 1.57 r = 117.75

- Divide both sides by 1.57

∴ r = 75

∴ The length of the radius of the circle is 75 inches

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687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09