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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.

Respuesta :

calculista
we know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians

the answer part 1) is 0.57 radians

part 2) 
area of a sector=(∅/2)*r²--------> when ∅ is in radians
area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²

the answer Part 2) is 14 ft²
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Answer:

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  0.57 . The area of the sector formed by the arc is 13.97  square feet.  Assume π = 3.14, and round your answers to the nearest hundredth.

Explanation:

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