Exercise 2 Page 878

We need to find the radius of the circle given. To do that, let's start by paying close attention to the right triangle in the diagram.

We can see that the lengths of the legs are 24 millimeters and r. The length of the hypotenuse is 25 millimeters. If we substitute these values in the equation of the Pythagorean Theorem, we will be able to find the value of r. Let's do it!

a^2+b^2=c^2

SubstituteValues

Substitute values

24^2+ r^2= 25^2

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Solve for r

CalcPow

Calculate power

576+r^2=625

SubEqn

LHS-576=RHS-576

r^2=49

SqrtEqn

sqrt(LHS)=sqrt(RHS)

r=sqrt(49)

CalcRoot

Calculate root

r=7

We found that the value of r is 7 millimeters. Therefore, the correct answer is F.