Question

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Answer 1

Answer: 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