Home > Algebra > Formulas for Problem Solving

How do you find the area of a circle if the circumference of a circle is 28.26cm?

Answer 1

Kennedy Adams

#"area "~~63.55" cm"^2#

#"the area (A) of a circle is given by"#

#•color(white)(x)A=pir^2larrcolor(blue)"r is the radius"#

#"to calculate A we require to find r"#

#"the circumference (C) of a circle is given by"#

#•color(white)(x)C=2pir#

#"here "C=28.26 " so equating"#

#2pir=28.26#

#"divide both sides by "2pi#

#(cancel(2pi) r)/cancel(2pi)=28.26/(2pi)#

#r=28.26/(2pi)larr" round on final step"#

#"substitute this value into formula for A"#

#A=pixx(28.26/(2pi))^2~~63.55" to 2 dec. places"#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jace Anderson

To find the area of a circle when given the circumference, you use the formula:

Area = (Circumference)^2 / (4 * π)

Substitute the given circumference:

Area = (28.26)^2 / (4 * π)

Calculate the area using the value of π:

Area ≈ (28.26)^2 / (4 * 3.14159) ≈ 63.585 / 12.56636 ≈ 5.05 square centimeters.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.