Calculate the shaded area of the figure.
2 answers:
Answer:
36.5cm²
Step-by-step explanation:
Area of quarter circle=8²
/4=64
/4=16
cm²
Area of square+Area of shaded region =2(16
)=32
=100.5cm²
Area of square=8²=64cm²
Area of shaded region=100.5cm²-64cm²=36.5cm²
Therefore, the area of the shaded region is 36.5cm².
Answer:
Area shaded area = 36.48
Step-by-step explanation:
Preliminary
- Draw a line from D to B
- Assume that the quarter circle has its center at C.
- Find the area of the quarter circle. [Arc DBC]
- Subtract the area of TriangleDBC
- That gives 1/2 the shaded area.
- Double the 1/2 of the shaded area
Given
- ABCD is a square. It better be or we can't do this.
- One side of the square = 8 cm
- 4 sides of the square = 32 cm
- The center of the quarter circle is at C
Solution
Quarter Circle Area
<em><u>Formula</u></em>
Area = 1/4 * pi * r^2
<em><u>Solution</u></em>
- r = 8 cm
- pi = 3.14
- Area = 1/4 * 3.14 * 8^2
- Area = 50.24 cm^2
Triangle Area
<em><u>Formula</u></em>
Area = 1/2 r^2
<em><u>Given</u></em>
r = 8
<em><u>Solution</u></em>
- Area = 1/2 8^2
- Area = 32 cm^2
Area of 1/2 the Shaded area
<em><u>Formula</u></em>
Area of 1/2 shaded area = Area of 1/4 circle - Area of Triangle
<em><u>Givens</u></em>
- Area of 1/4 circle = 50.24
- Area of triangle= 32
<em><u>Solution</u></em>
- Area of 1/2 shaded area = 50.24 - 32
- Area of 1/2 shaded area = 18.24
- Answer= 2* 18.24
Area Shaded area = 36.48
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