Examples with solutions for Circumference: Subtraction or addition to a larger shape

Exercise #1

Look at the shape of the figure.

The quadrilateral is a square with sides measuring 5 cm.

A semicircle is placed on each side.

What is the circumference / perimeter of the new shape?

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Video Solution

Answer

10π 10\pi cm

Exercise #2

Michael's chain is tangled in the shape of the drawing. How long is the chain?

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Video Solution

Answer

15π 15\pi cm

Exercise #3

Given the shape of the figure

The quadrilateral is a square on each side of which is a quarter circle, the quarter circles are identical.

Given the circumference of the entire form is 24+12π 24+12\pi cm

What are the lengths of the sides of the square?

Answer

6 6 cm

Exercise #4

Look at the shape of the figure.

On the sides of the triangle there are two semicircles.

The triangle is equilateral and each side has a length of 6X cm.

What is the circumference/perimeter of the whole shape?

6X6X6X6X6X6X6X6X6X

Video Solution

Answer

6x+6πx 6x+6\pi x cm