Question

The radius of a circle is 8 kilometers. What is the area of a sector bounded by a 90 degree arc

Answer 1

Answer:

≈ 100.53 Km²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{90}{180}$

   = π × 8² × $\frac{1}{2}$

   = 64π × 0.5 = 32π ≈ 100.53 Km² ( to 2 dec. places )

Answer 2

Step-by-step explanation:

radius=8

θ=90 degree or 90 ×π/180 = 1.57079 approximately to 1.5708 radian

area of sector=?

area of sector =½×r ²×θ

= ½×8² × 1.5708

= 50.2656