Answered

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find the area of the sector of a circle with radius 5 meters formed by a central angle of 145 degrees. answer in square meters

Sagot :

Given:

Radius, r=5m

Central angle is 145 degrees.

To find the area of the sector:

The area of the sector formula is,

[tex]A=\frac{\theta}{360}\times\pi r^2[/tex]

On substitution we get,

[tex]\begin{gathered} A=\frac{145}{360}\times\frac{22}{7}\times5^2 \\ =31.6468\text{ sq. m} \end{gathered}[/tex]

Hence, the area is 31.6468 sq. m.

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