A circular garden has centre and radius m

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

Problem

A circular garden has centre

C

and radius

30

m. A service gate is located at a point

G

on the outside such that

CG = 50

m. Two straight paved paths are to be laid from

G

to touch the boundary of the garden at points

A

and

B

. (i) Calculate the length of each path

GA

and

GB

. (ii) Determine the perimeter of quadrilateral

CGAB

. (iii) The region enclosed by

GA

GB

and the arc

AB

of the garden is to be covered with decorative tiles. Find the area of this region, taking

\pi = 3.14