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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 5 Page 749

Recall the formula for finding the circumference of a circle.

Radius: 3.66cm
Diameter: 7.32cm

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 23cm. By substituting 23 for C in the formula, we can calculate r.

C=2π r

C= 23

23=2π r

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Solve for r

Rearrange equation

2π r=23

.LHS /2 π.=.RHS /2 π.

r=3.66056...

Round to 2 decimal place(s)

r≈ 3.66

We found that the radius rounded to the nearest hundredth is 3.66cm. Now, to find the diameter we can multiply the radius by 2. 2* 3.66=7.32cm The circle's diameter rounded to the nearest hundredth is 7.32cm.

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