A figure consists of a square and a semicircle, as shown in the diagram below. If the length of the square is 6, what is the area of the shaded region?
Answer (2)
If the length of the square is 6, what is the area of the shaded region is: b. 36 - 4.5π square units.
How to calculate the area of a square?
In Mathematics and Euclidean Geometry, the area of a square can be calculated by using this formula;
A = s 2
Where:
A is the area of a square.
s is the side length of a square.
In Mathematics and Geometry, the area of a semicircle can be calculated by using this mathematical equation:
Area of semicircle = π d 2 /8
Where:
d represents the diameter of a circle.
In this context, the area of the shaded region is given by;
Area of shaded region = Area of square - Area of semicircle
Area of shaded region = 6 2 − π ( 8 6 2 )
Area of shaded region = 36 - 4.5π square units.
Read more on area here: brainly.com/question/16739903
#SPJ2
Complete Question:
A figure consists of a square and a semicircle, as shown in the diagram below. If the length of the square is 6, what is the area of the shaded region?
a. 36-9π
b. 36 - 4.5π
c. 36 - 3π
d. 36 - 6π
The area of the shaded region, which consists of a square with side length 6 and a semicircle, is calculated as 36 - 4.5π square units. This is found by subtracting the area of the semicircle from the area of the square. Therefore, the final answer is 36 - 4.5π square units.
;
