This is a geometry find the area question so I attached a link to the pdf where I got it from it's number 13 on page 2 chapter 11 test, form 3 and I am very confused. I have already figured out that the radius has to be 1.5 but I don't know how the answer is supposed to be 24.3!!! https://www.methacton.org/cms/lib/PA01000176/Centricity/Domain/149/Review%2011%20to%20%2013.pdf

Thanks in advance!

Guest Apr 14, 2019

#1**+1 **

Radius of semi-circle = 1.5 cm

Area of semi-circle = pi (1.5)^2 / 2 (1)

Area of rectangle = 3 * (6.5 - 1.5) = 3 * 5 = 15 (2)

Area of triangle

One leg = 5cm

The other = √[5.5^2 - 5^2 ] = √5.25 cm

Area of triangle = (1/2) product of the legs = (1/2)(5)√5.25 (3)

Add (1) + (2) + (3) ≈ 24.12 cm^2

CPhill Apr 14, 2019