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Bindu’s bike tires have a radius of 30 cm. She rides her bike far enough that the tiresrotate exactly five times. How far does Bindu’s bike travel?(A) 60π cm (B) 30π cm (C) 900π cm (D) 300π cm (E) 150π cm

Question

Bindu’s bike tires have a radius of 30 cm. She rides her bike far enough that the tiresrotate exactly five times. How far does Bindu’s bike travel?(A) 60π cm (B) 30π cm (C) 900π cm (D) 300π cm (E) 150π cm

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Solution

The distance a bike travels per rotation is equal to the circumference of the wheel, which is calculated by the formula 2πr, where r is the radius of the wheel.

Step 1: Calculate the circumference of the wheel The radius of the wheel is given as 30 cm. So, the circumference is 2π * 30 cm = 60π cm.

Step 2: Calculate the total distance travelled The wheel rotates exactly five times. So, the total distance travelled is 5 * 60π cm = 300π cm.

So, the answer is (D) 300π cm.

This problem has been solved

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