a regular pentagon has an apothem of 7.43 cm. Find the length of a side of the pentagon and the length of the radius of the circ

Question

erica [24]

3 years ago

12

a regular pentagon has an apothem of 7.43 cm. Find the length of a side of the pentagon and the length of the radius of the circ

umscribed circle

Mathematics

1 answer:

Neko [114] · Answer 1 · 2022-08-27T19:54:39+03:00

You have to figure it out. First, the sum of the angles in a polygon = n-2(180) where n is the number of sides. For a pentagon, this is 5-2(180)=540. then divide by 5 for each of 5 large angles in the pentagon, and then divide by 2 for the angle formed by the radius in the right angle. This is 540/5=108 divided by 2 = 54 degrees in the right angle. Now that you know the angle , then use trig to solve the problem...