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A circle has an arc whose measure is 140 degrees and whose length is 88 pi cm. What is the diameter of the circle? Round your answer to the nearest whole cm

the diameter of the circle is 226 cm

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Length of arc = 88π

θ = 140 degrees

Therefore,

88π = 140/360 × 2 × π × r

88π = 140/360 × 2 × π × r

Dividing both sides of the equation by π, it becomes

88 = 140/360 × 2r

88 × 360 = 140 × 2r = 280r

280r = 31680

r = 31680/280

r = 113 cm

Diameter = radius × 2

Diameter = 113 × 2 = 226 cm

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45