The beam of a lighthouse is visible for a distance of 15 mi. to the nearest square mile, what is the area covered by the beam as it sweeps in an arc of 270°?

area of circle = pi x r^2

using 3.14 for pi

 area = 3.14 x 15^2 = 706.5 square miles

270/360 = 0.75

706.5 * 0.75 = 529.875

 rounded to nearest mile = 530 miles

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

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