Area of a pizza is one-fourth of that of a cake. What is the ratio of their ra

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Area of a pizza is one-fourth of that of a cake. What is the ratio of their radii? [3 MARKS]

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Answer: Option A
:
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Let the radius of the pizza be

r_{1}

and radius of the cake be

r_{2}

.
Given:

\frac{a r e a o f t h e p i z z a}{a r e a o f t h e c a k e} = \frac{1}{4}

Now, area of a circle =

π r^{2}

\Rightarrow \frac{π {r_{1}}^{2}}{π {r_{2}}^{2}} = \frac{1}{4}

\Rightarrow \frac{r_{1}^{2}}{r_{2}^{2}} = \frac{1}{2}

\Rightarrow \frac{r_{1}}{r_{2}} = \frac{1}{2}

Therefore, the ratio of their radii is

\frac{1}{2}

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