Give an example of finding the perimeter of a composite figure in terms of pi
Consider a circle with radius 5 cm placed inside a square with side length 10 cm. To find the perimeter of this composite figure, we need to find the circumference of the circle and the perimeter of the square, then add them together.
The circumference of the circle is given by the formula: C = 2πr, where r is the radius. In this case, the radius is 5 cm, so the circumference of the circle is C = 2π(5) = 10π cm.
The perimeter of the square is simply the sum of all four sides: P = 4(10) = 40 cm.
Now, to find the total perimeter of the composite figure, we add the circumference of the circle and the perimeter of the square: Perimeter = 10π + 40 = 10π + 40 cm.
So, the perimeter of the composite figure in terms of pi is 10π + 40 cm.