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KATRIN_1 [288]
3 years ago
10

The circumference of a circle is 212 inches What is the measurement of the diameter of the circle round your answer to the neare

st tenth of an inch
Mathematics
2 answers:
emmasim [6.3K]3 years ago
7 0
If you substitute pi for 3 then your answer would be 70.7 inches, but if you substitute pi for 3.14, then your answer would be 67.5 inches.

Hope this helps... :)
Zepler [3.9K]3 years ago
4 0
Hi there!
So first to find the diameter, you will need to find the radius of the circle because the diameter is twice the length of the radius. 
Find the radius from the circumference, which is 2 \pi r.
C= 2 \pi r
212= 2 \pi r
212/2 \pi=r
Then solve for r.
Radius= 33.74
Then multiply the radius by 2 to find the diameter.
Diameter= 2 * 33.74
Diameter= 67.5 inches

Hope this helps :)
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Answer:

  • Exact Area = 210.25pi - 210
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The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

=============================================================

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

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a^2 + b^2 = c^2

20^2 + 21^2 = c^2

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c = sqrt(841)

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The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

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