Tag: semicircle

Angle inscribed in a semicircle

To solve the two problems below you need to know 1) The area of a circle is Πr2, with r as radius and that the area of a semicircle is of course  half of the circle, ½Πr2 and 2) the angle  in a semicircle theorem. Problem 1 Prove that the area of the solid green semicircle

Solution to semicircle road trip problems #1 and #2

The circumference of a circle is π x diameter so the length of a semicircle is (1/2)π x d. The solution to problem #2 is shown below. Let the diameters of the smaller circles be p, q, r, s. Use the formula to find the lengths of each semicircle. The same thinking is applicable to semicircle

Semicircle Road Trip #2

If you figured out Semicircle road trip problem #1, you will find this second problem easy. The challenge is setting-up the solution/ explanation and not really in figuring out which road is longer. If you have an explanation, share them in the comment section. Problem There are two ways to get from Town A to