Question

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 for π, and round your answer to the nearest whole number. 22 units2 157 units2 39 units2 70 units2

Answer 1

Answer:

39 units²

Step-by-step explanation:

the perimeter of triangle =

7+6+9.22 = 22.22 cm

=> the radius oh the circle =

r = c/2π = 22.22/ 2×3.14

= 3.54

so, the area of the circle = π.r²

= 3.14 ×(3.54)²

= 3.14 × 12.53

= 39.34 => 39 units²

Answer 2

The area of a circle with a circumference that equals the perimeter of the triangle using 3.14 for π is 39 units².

Area of a circle

First step

Perimeter of triangle =7+6+9.22

Perimeter of triangle= 22.22 cm

Second step

radius(r) = c/2π

radius(r) = 22.22/ 2×3.14

radius(r)= 3.54

Third step

Area of the circle = π.r²

Area of the circle = 3.14 ×(3.54)²

Area of the circle = 3.14 × 12.53

Area of the circle =39 units²

Inconclusion the area of a circle is 39 units².

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