Question

A wire in the form of a rectangle 25.6cm long and 18.4 cm wide is bent and reshaped into the form of a circle. Calculate the change in area in percent.

Answer 1

Answer:

Step-by-step explanation:

The rectangle area RA = 25.6*18.4

The new circumference of the circle is the perimeter of the rectangle.

C = 2*pi*r = 2*25.6 + 2*18.4

Find r from this equation.

Then fit it into the formula for area of a circle.

A = pi*r^2

Once you have the circle area CA and Rectangle area RA.

% increase = 100*(CA - RA)/RA

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Answer 2

The rectangle area RA = 25.6*18.4

The new circumference of the circle is the perimeter of the rectangle.

C = 2*pi*r = 2*25.6 + 2*18.4

Find r from this equation.

Then fit it into the formula for area of a circle.

A = pi*r^2

Once you have the circle area CA and Rectangle area RA.

% increase = 100*(CA - RA)/RA

hope this answer helpful u