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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 6 Page 749

Recall the formula for finding the circumference of a circle.

Radius: 12.41 feet
Diameter: 24.83 feet

The circumference C of a circle with radius r is calculated using the formula below. C=2π rFrom the exercise, we know that the circumference of the circle is 78feet. By substituting 78 for C in the formula, we can calculate r.

C=2π r

C= 78

78=2π r

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Solve for r

Rearrange equation

2π r=78

.LHS /2 π.=.RHS /2 π.

r=78/2 π

Use a calculator

r=12.41408...

Round to 2 decimal place(s)

r≈ 12.41

We found that the radius rounded to the nearest hundredth is 12.41feet. Now, to find the diameter we can multiply the radius by 2. 2* 78/2π≈ 24.83 ft The circle's diameter rounded to the nearest hundredth is 24.83feet.

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