In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is ? the area of the sector formed by the arc is ? square feet.

assume π = 3.14, and round your answers to the nearest hundredth.

Part 1)

we know that

The circumference of a circle is equal to

where

r is the radius of the circle

In this problem we have

substitute

Remember that

radians subtends the complete circle of length

so

by proportion

Find the radian measure of the central angle subtended by an arc with a length of feet

therefore

the answer Part 1) is

Part 2)

we know that

The area of a circle is equal to

where

r is the radius of the circle

In this problem we have

substitute

Remember that

The area of complete circle subtends a length of the complete circle of  

so

by proportion

Find the area of the sector formed by an arc with a length of feet

therefore

the answer Part 2) is

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

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step-by-step explanation:

i used the pitagoras theoreme