Question

A regular hexagon is inscribed in a circle of radius 14cm. Find the area of region between the circle and hexagon

Answer 1

Answer:

Area between the circle and hexagon of radius 14 cm is $106.53 cm^2$

Step-by-step explanation:

Given a regular hexagon is inscribed in a circle of radius 14cm. we have to find the area of region between circle and hexagon.

Area of circle=$\pi r^2=\pi{(14)^2}=196\pi=615.75cm^2$

Measure of the central angle of a regular hexagon is 60° i.e  A regular hexagon is made up of 6 equilateral triangle.

Area(hexagon)=Area(6 equilateral triangle)

                       =$6\times\frac{\sqrt3}{4}a^2$

                       =$6\times\frac{\sqrt3}{4}\times14^2=509.22cm^2$

$\text{Area between circle and hexagon}=ar(circle)-ar(hexagon)$

                                                    $=615.75509.22=106.53 cm^2$

Answer 2

Step-by-step explanation:

section-4

29) Express each of the following numbers as a product of its primes