To find the area and perimeter of the C-shaped figure, we'll need to break it down into separate shapes and add them up.
First, we can separate the shape into a rectangle and two semicircles:
Perimeter:
- The perimeter of the rectangle is: 2(7cm) + 18cm = 32cm
- The perimeter of each semicircle is half the circumference of a full circle with radius 5cm. The circumference of a circle is 2πr, so the circumference of these semicircles is πr = 5π. Therefore, the total perimeter added by the semicircles is: 2(5π) = 10π
- So the total perimeter of the C-shaped figure is: 32cm + 10π ≈ 62.85cm
Area:
- The area of the rectangle is: 7cm x 18cm = 126cm^2
- The area of each semicircle is half the area of a full circle with radius 5cm. The area of a circle is πr^2, so the area of each semicircle is 1/2(π(5cm)^2) = 39.27cm^2. Therefore, the total area added by the semicircles is: 2(39.27cm^2) = 78.54cm^2
- So the total area of the C-shaped figure is: 126cm^2 + 78.54cm^2 = 204.54cm^2
Find area and perimeter of the c shape with dimensions
7cm
5cm
5cm
5cm
5cm
7cm
18cm
1 answer