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The area of a circle is 615.44 sq. inches. what is the diameter of the circle? use 3.14 for π.

User Tranvutuan
by
8.7k points

2 Answers

7 votes

Answer:

155.9(1dp)
Let me know if its right.

Explanation:

User Fabio Ferrari
by
7.5k points
6 votes

Answer:

Diameter = 28 inches

Explanation:

r = radius of the circle

d = diameter of a circle

=
(d)/(2)

A = Area of a circle

= 615.44 square inches



A = \pi r^(2)


A = \pi ((d)/(2))^(2)


A = (\pi d^(2))/(4)

Use π = 3.14 and Substitute the provided values in the above equation:


615.44 = ((3.14)(d^(2)))/(4)

Isolate d and make it the subject of the equation by applying Cross-multiplication:


(615.44)(4) = 3.14d^(2)


d^(2) = ((615.44)(4))/(3.14)


d^(2) = 784

Take square root on both sides to get rid of the square:


\sqrt{d^(2)} = √(784)


d = √(784)

d = Diameter of circle = 28 inches

User Johntrepreneur
by
8.3k points