Question #1eafd

3 Answers
Feb 11, 2018

Circumferance of a circle of radius #r# is given as, #2pir# and area as #pi r^2#

Given, #r=84/2 =42cm#

So,circumferance = #263.9 cm#

So,area =#5541.77 cm^2#

Feb 11, 2018

Circumference i s#C=264#cm
Area is #A=5544#sq.cm

Explanation:

Given:
diameter = #d=84#cm
Circumference is given by the formula
#C=pi(d)#
Considering #pi=22/7#
#C=pi(d)=(22/7) X 84#
#C=22 X 14#
#C=264#cm
Area is given by
#A=1/4pid^2#
#=(1/4)(22/7)84^2#
#A=5544#sq.cm

Feb 11, 2018

Circumference of the Circle #color(blue)(~~263.89" cm"# (2 decimal places)

Area of the Circle #color(blue)(~~5541.77" cm"^2# (2 decimal places)

Explanation:

Given:

Diameter of the Circle = #84" cm"#

Formula to find the Circumference and the Area of the Circle

Circumference = #pi d " units"#

Area = #(1/4)*pi d^2 " Sq. units"#

Circumference = #pi*84 " cm"#

Pi #(pi)# is a name given to the ratio of the circumference of a circle to the diameter.

Note that the value of #pi =(22/7)~~3.14159# (approximately)

#rArr (22/7)*84 " cm"#

#rArr 263.8937829 " Units"# (using the calculator)

Area = #(1/4)*pi*84^2#

#Area ~~ 5541.769441 " Sq.cm"# (using the calculator)

Hence, we can write our final answer as

Circumference of the Circle #color(blue)(~~263.89" cm"# (2 decimal places)

Area of the Circle #color(blue)(~~5541.77" cm"^2# (2 decimal places)