Question

persevere the vertices of a rectangle with side lengths of 10 and 24 units are on a circle of radius 13 units. find the area between the figures. round the answer to the nearest hundredth. units² need help with this question? get a hint show answer

Explanation:

Step1: Calculate circle area

The formula for the area of a circle is $A_{circle}=\pi r^{2}$. Given $r = 13$, then $A_{circle}=\pi\times13^{2}=169\pi$.

Step2: Calculate rectangle area

The formula for the area of a rectangle is $A_{rectangle}=l\times w$. Given $l = 24$ and $w = 10$, then $A_{rectangle}=24\times10 = 240$.

Step3: Find area between figures

Subtract rectangle area from circle area: $A=A_{circle}-A_{rectangle}=169\pi - 240$.

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Answer:

$290.93$