The area of a sector of a circle is 18 pie cm². The radius of the circle is 6 cm. The angle in the sector is

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asked Oct 11, 2024 91.4k views

2 votes

The area of a sector of a circle is

18 pie cm². The radius of the circle is
6 cm. The angle in the sector is

The area of a sector of a circle is 18 pie cm². The radius of the circle is 6 cm. The-example-1

Mathematics
high-school

Michael Eakins asked

by Michael Eakins

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2 Answers

4 votes

Answer:

The angle in the sector is 180°.

Because the area of circle is 36 pie cm². So the angle is the half of 360°.

Ceilingcat answered Oct 13, 2024

by Ceilingcat

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$\boxed{\begin{array}{l} \\ \sf\huge{ \quad \underline{Answer} } \\ \\ \underline{ \underline\textsf{ Area of sector is given by : }} \\ \\ \dashrightarrow \sf{ A = ( \theta)/(360 \degree) * \pi {r}^(2) } \\ \\ \dashrightarrow\sf{18 \pi = ( \theta)/(360 \degree) * \pi {(6)}^(2) } \\ \\ \dashrightarrow ( \theta)/(360 \degree) = (18 \pi)/( \pi(36)) \\ \\ \dashrightarrow \theta = 360 \degree * (1)/(2) \\ \\ \dashrightarrow\theta = 180 \degree \\ \\ \end{array} }$

Tobiah Rex answered Oct 18, 2024