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Question 13 Multiple Choice Worth 4 points)

(06.01 MC)
A triangle has sides that measure 7 units, 6 units, and 9.22 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 forn, and
round your answer to the nearest whole number.
22 units
157 units?
39 units
70 units

User Ken J
by
4.3k points

1 Answer

2 votes
Step by step: Perimeter of triangle=7+6+9.22
=22.22unit
Circumference of the circle=22.22units
Circumference= (diameter)
22.22=3.14 x diameter
Diameter=22.22/3.14
Diameter=7.0764 (4 decimal places)
Radius=7.0764/2
=3.5382
Area of circle=3.14 x 3.5382^2
=39.3 units (3 Significant Figures)
Therefore, 39 units is correct.

Lengthy so you could understand better hopefully.
User DWRoelands
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4.6k points