Question

Calculate the area of the shaded sector in the circle​

Answer 1

Answer:

area ≈ 6.3 units²

Step-by-step explanation:

Calculate the area (A ) of the sector as

A = area of circle × fraction of circle

   = πr² × $\frac{45}{360}$

   = π × 4² × $\frac{1}{8}$

    = 16π × $\frac{1}{8}$ ← cancel 8 and 16 by 8, leaving

A = 2π ≈ 6.3 units² ( to 1 dec. place )