2. Areas of Circles and Sectors
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Recall the formula for finding the area of a circle.
About 4.01 inches
The area of a circle with radius r is calculated using the formula below. A=Ï€ r^2 We know that the area of the circle is 12.6 in^2. By substituting 12.6 for A in the formula, we can calculate r.
A= 12.6
.LHS /Ï€.=.RHS /Ï€.
Rearrange equation
sqrt(LHS)=sqrt(RHS)
Calculate root
The radius of the circle is a measurement and therefore cannot be negative. This means we will only use the positive result. We know that the diameter of a circle is exactly twice as long as its radius. With that information we can calculate the diameter. D = 2r D = 2( 2.002674 ...) D = 4.005348 ... The diameter of the circle is approximately 4.01 inches.