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ANEK [815]
3 years ago
12

A circle with area 36 pi has a sector with a central angle of 11/6 pi radians what is the area of the cector

Geography
2 answers:
Vlad [161]3 years ago
8 0

Answer:

The area of the sector is 33\pi.

Explanation:

A sector is a part of a circle that is formed by two radii (which forms a central angle), and an arc. The area of a sector (in radians) is given by:

                          = (θ ÷ 2\pi) × \pi r^{2}

where: θ is the central angle of the sector and r is the radius of the circle of which the sector is a part.

Area of a circle = \pi r^{2}. But the area of the circles was given to be 36\pi.

Area of the sector = (θ ÷ 2\pi) × area of the circle

                              = (θ ÷ 2\pi) ×36\pi

θ has been given to be \frac{11}{6}\pi.

Therefore;

   Area of the sector = (\frac{11}{6}\pi ÷ 2\pi) ×36\pi

                                   = \frac{11}{12} × 36\pi

                                   = 11 × 3\pi

                                   = 33\pi

The area of the sector is 33\pi.

NeX [460]3 years ago
6 0

Answer:33pi

Explanation:

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