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Nikitich [7]
3 years ago
7

A circle with area 36 has a sector with a central angle of 11/6pi

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

33 sq. units

Step-by-step explanation:

The area of a sector can be calculated using the formula;

A =  \frac{ 1}{2}  {r}^{2}  \theta

From the given information, the area of the circle is 36 and the angle of sector is

This means

\pi {r}^{2}  = 36 \\  {r}^{2}  =  \frac{36}{\pi}

We substitute the values into the formula to get:

A =  \frac{ 1}{2}  \times  \frac{36}{\pi}  \times  \frac{11}{6} \pi

We cancel out common factors to get:

A =33

The area of sector is 33 square units

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