If a large pizza has a radius that is 60% larger that that of a medium pizza, what is the percent ...

If a large pizza has a radius that is 60% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?

Answer/Solution

156%

Steps/Work

Let the radius of medium pizza be r. Then the radius of large pizza is 1.6r.
The area of the medium pizza is pi*r^2
The area of the large pizza is pi*(1.6*r)^2 = 2.56*pi*r^2, an increase of 156%.
The answer is E.

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If a large pizza has a radius that is % larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?

Calculated Answer

156

Step by Step Solution

In order to solve problem, you must evaluate (n₀ / 100 + 1^2 - 1) * 100.

n₀ =	60

(n₀ / 100 + 1^2 - 1) * 100
Evaluate n₀ / 100 = 0.6
(0.6 + 1^2 - 1) * 100
Evaluate 0.6 + 1 = 1.6
(1.6^2 - 1) * 100
Evaluate 1.6^2 = 2.56
(2.56 - 1) * 100
Evaluate 2.56 - 1 = 1.56
1.56 * 100
Evaluate 1.56 * 100 = 156
156
The answer to the problem and the result of (n₀ / 100 + 1^2 - 1) * 100 is 156

Quiz

Answer/Solution

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Calculated Answer

Step by Step Solution