1) what is the area of a sector with a central angle of 5π/7 radians and a diameter of 5.6 in.? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box. 2) what is the area of a sector with a central angle of 4π/5 radians and a radius of 11 cm? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.

1.

the area of a sector to the nearest hundredths is,

2.

the area of a sector to the nearest hundredths is,

Step-by-step explanation:

Area of a sector(A) is given by:

         .....[1]

where,

r is the radius and

is the angle in radian.

(1)

As per the statement:

a central angle of 5π/7 radians and a diameter of 5.6 in

⇒

We know that:

Diameter(d) = 2(radius(r))

⇒

⇒

or

r = 2.8 in.

Substitute these in [1] we have;

use 3.14 for π

⇒

Simplify:

⇒ square inches

therefore, the area of a sector to the nearest hundredths is,

Similarly:

2.

a central angle of 4π/5 radians and a radius of 11 cm

⇒

Substitute these in [1] we have;

use 3.14 for π

⇒

Simplify:

⇒ square inches

therefore, the area of a sector to the nearest hundredths is,

answer: 180

step-by-step explanation:

12-2=10

20-2=18

18x10=180