Question

The circle has center O. Its radius is 6 m, and the central angle a measures 50°. What is the area of the shaded region?
Give the exact answer in terms of 1, and be sure to include the correct unit in your answer.
​

Answer 1

Answer:

5π m²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{50}{360}$ ( r is the radius )

   = π × 6² × $\frac{5}{36}$

   = 36π × $\frac{5}{36}$ ( cancel the 36 on numerator/ denominator )

    = 5π m²