What is the length of the major arc AE if the area of rectangle ABCD shown in the figure below is 18 sq. ft, and side AB, which

Question

mezya [45]

4 years ago

7

What is the length of the major arc AE if the area of rectangle ABCD shown in the figure below is 18 sq. ft, and side AB, which

is tangent to the circle at A, measures 6 feet?

Mathematics

1 answer:

REY [17] · Answer 1 · 2021-12-06T14:11:13+03:00

Rectangle ABCD is one of the figures.
There is a circle where the line AD forms the radius.

Total area of rectangle = 18
Line AB = 6
So, line AD = 3 and line AE = 3
The interior angles of a rectangle are 90 degrees.

270 : 360 = x : (2*pi*r)
270/360 = x/(2*pi*3)
3/4 = x/(6 pi)
4x = 3* (6 pi)
<span>x = 9pi / 2

The length of the major arc AE is 9pi / 2</span>