Find the area and the circumference of a circle with radius 5yd?

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Answer 1 · 2018-04-14T22:14:57

C: #10pi# yards
A: #25pi# yards squared

Circumference: #2pir# or #dpi# (where #r# is the radius and #d# is the diameter, which is twice the length of the radius)

Area: #pir^2#

Circumference: #2*pi*5=10pi# yards (if you're using an approximation like #3.14# for #pi#, multiply that by #10#)

Area: #5^2pi=25pi# yards squared (if you're using an approximation like #3.14# for #pi#, multiply that by #25#)

Answer 2 · 2018-04-14T22:24:45

The circumference is #31.4# #"yd"#, and the area is #78.5# #"yd"^2#

There are special formulas to find the circumference and area of a circle.

Circumference:
#C= 2pir#

Area:
#A = pir^2#

They've given you the radius of the circle, so all you have to do is plug it into the equation:

Circumference:
#C = 2 pi r#

#C = 2(3.14)(5)#

#C = 31.4# #"yd"#.

Area:
#A = pir^2#

#A = (3.14)(5^2)#

#A = 3.14(25)#

#A = 78.5# #"yd"^2#

So the circumference is #31.4# #"yd"#, and the area is #78.5# #"yd"^2#.