Question 9(Multiple Choice Worth 1 points) (05.04 LC)
A circle is cut from a square piece of cloth, as shown:
42"
How many square inches of cloth are cut from the square? (TT = 3,14)
O 131.88 in2
O 168.00 in?
1,384.74 in?
O 1.764.00 in

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²