Question

A circle has a radius of 25 centimeters and a central angle EOG that measures 100°. What is the area of sector EOG?

Answer 1

Answer:

≈ 545.42 cm²

Step-by-step explanation:

The area (A) of sector EOG is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{100}{360}$

   = π × 25² × $\frac{10}{36}$

   = 625π × $\frac{10}{36}$

   = $\frac{625(10)\pi }{36}$ ≈ 545.42 ( to 2 dec. places )