Arectangular more located between two parallel streets is 50 feet wide and 200 yards long. find the area of the mall.

The area of the mall is 30,000 square feet

Step-by-step explanation:

A rectangular mall located between two parallel streets is 50feet wide and 200 yards long

The area of rectangle is given by

Area = length x breath

Here,

Length = 200 yards

We know that 1 yard = 3 feet

Length = 200 x 3 feet =600 feet

Breath = 50 feet

Area of rectangular mall is:

Area = length x breath

Area = 600x50

Area = 30,000 square feet

Thus,

The area of the mall is 30,000 square feet

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

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step-by-step explanation:

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