Circumference and Area of Circles: Grade 7 Math Test – PDF Download

Question 1: Radius, diameter, and pi (2 points)

Circle with radius \(9\text{ cm}\) is shown.

1. Find the diameter. (1 point)
2. Find the circumference in terms of \(\pi\). (1 point)

Question 2: Circumference of a round table (2 points)

A round table has a diameter of \(15\text{ ft}\). Calculate its circumference. Use \(3.14\) for \(\pi\).

Question 3: Area of a circle (2 points)

Find the area of the circle. Use \(3.14\) for \(\pi\).

Question 4: From circumference to area (3 points)

The circumference of a circle is \(37.68\text{ in}\). Find its radius, then find its area. Use \(3.14\) for \(\pi\).

Question 5: Why the area formula works (2 points)

A circle with radius \(r\) is cut into many equal sectors that are rearranged into a shape close to a parallelogram. Write the base and the height of that shape in terms of \(\pi\) and \(r\). Then show how this gives the area of the circle.

Question 6: Semicircle (3 points)

Find the area and the perimeter of the semicircle. Use \(3.14\) for \(\pi\).

Question 7: Comparing pizzas (3 points)

A small pizza has a diameter of \(12\text{ in}\). A large pizza has a diameter of \(16\text{ in}\). How many more square inches of pizza does the large one have? Use \(3.14\) for \(\pi\).

Question 8: Running track (3 points)

A field is a rectangle \(30\text{ m}\) by \(20\text{ m}\) with a semicircle on each of the two \(20\text{ m}\) ends. (a) Find the distance around the field. (b) Find the area of the field. Use \(3.14\) for \(\pi\).

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