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42) Find the exact circumference of the circle. Then

use the approximation 3.14 for n and
approximate the circumference.
11 miles
A) 227 mi, 69.08 mi
B) 1217 mi, 379.94 mi
C) 117 mi, 34.54 mi
D) 227 mi, 69.3 mi

42) Find the exact circumference of the circle. Then use the approximation 3.14 for-example-1

1 Answer

3 votes

Answer:

(A) 22π mi, 69.08 mi

Explanation:

Exact circumference:

Normally, the formula for circumference is C = πd, where

  • C is the circumference,
  • and d is the diameter

Because the diameter is 2 * the radius (r), we can rewrite circumference in terms of r using the formula C = 2rπ

Since the radius is 11 mi, we plug this in for r in the formula and simplify:

C = 2(11)π

C = 22π

Thus, the exact circumference of the circle is 22π mi.

Approximate circumference:

We can still use the equation C = 2rπ, but use 3.14 for π and simplify:

C = 2(11) * 3.14

C = 22 * 3.14

C = 69.08

Thus, the approximate circumference of the circle is 69.08 mi.

User Nithin Mohan
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