A circle is divided into 6 sectors so that the angles of the sectors form an arithmetic progression. The largest sector angle is 4 times the smallest sector angle. Given that the radius of the circle is 5cm find the perimeter of smallest sector?
1 Answer
Dec 7, 2017
Explanation:
First you need to find the size of the smallest angle.
Let the smallest angle be
Therefore the largest angle is
You know the size of the first and sixth (last) sectors and that the sum of all the sectors in the circle is
The smallest sector is therefore
The perimeter is made up of
The length of the arc is
Arc length =
Perimeter
This is a really nice question which includes different topics in Maths!!