The circumference of the circle is 37.68 ft
Step-by-step explanation:
Given,
The area of the circle is 113.1 sq ft
To find the circumference of the circle we need to find the radius of the circle first
Formula
The area of circle with radius r is = π sq unit
The circumference of circle with radius r is = 2πr unit
Let us take the radius of the circle is r ft
According to the problem,
π
or,
or,
or, r =
or, r = 6
Now,
The circumference of the circle is 2×3.14×6 ft = 37.68 ft
Answer:
The answer to the question is
37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.
Step-by-step explanation:
To answer the question, we note that a parallelogram is a four sided polygon having two opposite parallel sides.
Therefore in this question, we select our parallelogram to be a rectangle
Number of pieces of parallelogram in a quilted block = 8
Number of parallelogram in each quadrant of the quilted block = 2
Therefore the height of the rectangle = 2 × the base = 2× = 7.5 inches
Therefore the area of each parallelogram = base × height
= =
in²
since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is
Hence 24 blocks wil require 24×225 in² = 5400 in²
However, since 144 in² = 1 ft² we have
5400 in² = 5400 in²× 1/144 ft²/in² = 37.5 ft².