# How do you find the circumference and area of the circle whose equation is #x^2+y^2=36#?

##### 1 Answer

Feb 8, 2016

# C = 12pi ≈37.7#

# A = 36pi ≈ 113 #

#### Explanation:

The equation of a circle in the form

#x^2 + y^2 = r^2# represents a circle , centre ( 0 , 0 ) and radius r

the equation

# x^2 +y^2 = 36 color(black)(" is in this form ") # and therefore has a radius = 6

hence circumference, C

# = 2pir = 12pi ≈ 37.7# and area , A

#= pir^2 = 36pi ≈113#