Question

find the diameter of a circle with an area of 226.98 square inches

Answer 1

We are given here Area of circle as 226.98 square inches.

Formula to find area of circle is given as :

$Area of circle = \pi r^{2}$

plugging value of A as 226.98 square inches and pi as 3.14, we have

$226.98 = (3.14) r^{2}$

$72.3 = r^{2}$

r=8.5

Now we know that diameter = 2 * radius.

multiplying radius with 2 we have 8.5*2 = 17

Answer : Diameter is 17 inches.

Answer 2

Applying the  expression for finding the area of circle, then making radius the subject of formula, the radius is 8.499 inches and diameter is 17 inches

Given Data

Area in inches = 226.98 square inches

We know that the formula for calculating the area of a circle is given as

Area = $\pi r^{2}$

Substituting the value of area into the expression

226.98  = 3.141*r^2

Divide both sides by 3.142

r^2 = 226.98/3.142

r^2 = 72.24

Square both sides we have

r = $\sqrt{72.24}$

r = 8.499

r = 8.5 inches

we know that diameter is

d = 2*r

d = 2*8.5

d = 17 inches

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