Question

An umbrella top is made from a material in the shape of a circle of

diameter 5 feet. It has four equally spaced ribs. Find the area
between two consecutive ribs of the umbrella.

Answer 1

The area between two consecutive ribs of the umbrella top is approximately 4.9087375 square feet.

Step-by-step explanation:

To find the area between two consecutive ribs of the umbrella top, we need to find the area of the circle and divide it by the number of ribs. The diameter of the circle is 5 feet, so the radius is half of that, which is 2.5 feet. The area of the circle is given by the formula A = πr^2, where π is a constant approximately equal to 3.14159. Plugging in the value of the radius, we get A = 3.14159(2.5)^2 = 19.63495 square feet. To find the area between two consecutive ribs, we divide the total area of the circle by the number of ribs, which is 4. So, the area between two consecutive ribs is 19.63495/4 = 4.9087375 square feet.