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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.

The circle has center O Its radius is 6 m and the central angle a measures 50 What is the area of the shaded regionGive the exact answer in terms of 1 and be su class=

Respuesta :

Answer:

5π m²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{50}{360}[/tex] ( r is the radius )

   = π × 6² × [tex]\frac{5}{36}[/tex]

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

    = 5π m²