The speedometer needle in a car is 2.5 inches long. When accelerating from 0 to 60 miles per hour the needle
sweeps out an arc of 130°. What is the area of the sector formed by the needle from 0-60 miles per hour? Round to
the nearest hundredth.

Step-by-step explanation:

- Given the needle is 2.5 inches and the arc is 130°.

-we determine the area of the sector using the formula:

Where m is the arc angle and r the needle's length:

Hence, the arc's area is 7.09 sq inches.

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6