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3 votes
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Please look at the picture for further clarification and round the answer to the nearest whole number as needed

Please look at the picture for further clarification and round the answer to the nearest-example-1
User Mertinc
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1 Answer

26 votes
26 votes

The length and area of a circular sector of radius r and angle a are given by:


\begin{gathered} S=2\pi r\cdot(a)/(360^(\circ)), \\ A=\pi r^2\cdot(a)/(360^(\circ))\text{.} \end{gathered}

In this problem we have:

• a = 50°,

,

• r = 30 cm.

Replacing these values in the formulas above, we get:


\begin{gathered} S=2\pi\cdot(30\operatorname{cm})\cdot(50^(\circ))/(360^(\circ))\cong26.1799\operatorname{cm}\cong26\operatorname{cm}, \\ A=\pi\cdot(30\operatorname{cm})^2\cdot(50^(\circ))/(360^(\circ))\cong392.699cm^2\cong393cm^2\text{.} \end{gathered}

Answers

• S = length = 26cm,

,

• A = area = 393cm².

User BigBalli
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