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marissa
19 days ago
10

A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equal

s the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number. 17 units2 24 units2 54 units2 94 units2
Mathematics
1 answer:
PIT_PIT [9.1K]19 days ago
3 0

Step-by-step explanation:

Given are

Sides of the triangle measure 4 units, 6 units, and 7.21 units.

We need to compute the area of a circle whose circumference matches the triangle's perimeter.

The triangle's perimeter corresponds to the circle's circumference.

4 + 6 + 7.21 = 2πr, where r is the radius of the circle.

r = 2.73 units

Circle's area is:

A=\pi r^2\\\\A=3.14\times (2.73)^2\\\\A=23.402\ \text{units}^2

or

A = 24 square units

Thus, the circle’s area is 24 square units.

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