Question

Can help me complete this problem please:c

Answer 1

Area = 30.144 km²

Explanation:

We have given the radius of circle r= 8 km, angle subtended by an arc at the center of circle is Ф = 54° arc.

As Ф in radian is equal to Ф = 54 ×π/180= 54π/180 radians

We have to find the area of a sector bounded by a 54° arc.

As we know that :

The area of a sector:

A = 1/2 r²Ф

Putting values in above equation we get:

A = 1/2(8)(54π/180)

A= 30.144 km²

30.144 km² is the area of sector bounded by a 54° arc.

Answer 2

= 30.144 km²

Explanation:

Area of a sector is given by the formula;

θ/360 × πr², where θ is the angle subtended by the arc to the center of the circle, and r is the radius.

Area = 54/360 × 3.14 × 8 × 8

= 30.144 km²