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Bulls-Eye. See Exercise 94. The diameter of the center yellow ring of a standard archery target is 4.8 inches. What is the area of the bulls-eye? Round to the nearest tenth of a square inch.
$$18.1 \mathrm{in.}^{2}$$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 4
Formulas
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
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and this problem, we're told the diameter of the Yellow Bull's eye section is 4.8 inches. We want to find the area of the section. Well, remember, because it's a circle to find the area of a circle. It's the formula A equals pi r squared. So if we know the radius of this bull's eye section, then we confined the area. Well, we're told the diameters 4.8 inches. But remember, the diameter is equal to two times the radius. So if I substitute the diameter of 4.8 in for D, then I can solve for the radius. To do that, we simply divide both sides by two, and we'll be left with 2.4 is equal to the radius. Now I can substitute my radius into my area formula so we'll have a equals pi times 2.4 quick And now I simply need to evaluate so first thing I need to multiply. 2.4 times 2.4, which is 5.76 We have pi times 5.76 Now we're gonna multiply 5.76 by pi. Now, if your calculator has a pipeline That's what you should use. If it doesn't, then you can use 3.14 My calculator does have a pie, but and so I'm going to use that. And what I get is 18 0.9557368 Now our directions tell us to round to the nearest temple, please. Which is the first place after the decibel. So I'm gonna have to look at my hundreds place, which is the second place to determine whether this Ciro should stay a zero or round upto one. Well, because nine is greater than five, that zero is going get round up to a one. So what were found is that our area is equal to 18.1. Now, we also need our units. But remember, for Ariel, it's always unit squared. So in this case, our units will be inches squared
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