Grades 6, 7 and 8 | Math | Middle School

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Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Circles (Questions)

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If you read about circumferences and pi, you'll no doubt come across circles. In Math, in any circle the ratio of the distance around the curved perimeter to the distance across the circle through the center is the Greek letter π (pi) and has a value of just over 3.

The distance measured around a circle is called the .......

[ ]	brim
[ ]	circumference
[ ]	diameter
[ ]	radius

A line which joins the center of a circle to a point on the circumference is called a .......

[ ]	centre line
[ ]	diameter
[ ]	half distance
[ ]	radius

A line which passes through the center of a circle and joins two points on its circumference is called a .......

[ ]	centre line
[ ]	circumference
[ ]	diameter
[ ]	radius

What can be calculated using π r²?

[ ]	Area of a circle
[ ]	Circumference of a circle
[ ]	Diameter of a circle
[ ]	Volume of a circle

What is the area of a circle with a radius of 7 cm (to one decimal place)?

[ ]	53.9 cm
[ ]	153.9 cm
[ ]	315.9 cm
[ ]	513.9 cm

To the nearest square meter, what is the area of a circular pool with a radius of 10 m?

[ ]	114 m²
[ ]	214 m²
[ ]	314 m²
[ ]	414 m²

The area of a circular lawn is 628 m². How far is it across to the nearest meter?

[ ]	20
[ ]	24
[ ]	28
[ ]	32

What is the correct formula for the circumference of a circle?

[ ]	C = 2πr
[ ]	C = 2πd
[ ]	C = 2π
[ ]	C = 3πr

A circular lawn has a 20 m radius. What is the approximate circumference of the lawn?

[ ]	100 m
[ ]	126 m
[ ]	150 m
[ ]	175 m

10.

A round table has a diameter of 200 cm. What is the approximate circumference of the table?

[ ]	286 cm
[ ]	628 cm
[ ]	1,256 cm
[ ]	I need to know the radius first

Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Circles (Answers)

The distance measured around a circle is called the .......

[ ]	brim
[x]	circumference
[ ]	diameter
[ ]	radius

A line which joins the center of a circle to a point on the circumference is called a .......

[ ]	centre line
[ ]	diameter
[ ]	half distance
[x]	radius

A line which passes through the center of a circle and joins two points on its circumference is called a .......

[ ]	centre line
[ ]	circumference
[x]	diameter
[ ]	radius

What can be calculated using π r²?

[x]	Area of a circle
[ ]	Circumference of a circle
[ ]	Diameter of a circle
[ ]	Volume of a circle

Remember to use the radius of the circle and not the diameter

What is the area of a circle with a radius of 7 cm (to one decimal place)?

[ ]	53.9 cm
[x]	153.9 cm
[ ]	315.9 cm
[ ]	513.9 cm

The radius = 7 cm, so the calculation is: 3.141592 x 7 x 7 = 153.938 cm

To the nearest square meter, what is the area of a circular pool with a radius of 10 m?

[ ]	114 m²
[ ]	214 m²
[x]	314 m²
[ ]	414 m²

The radius = 10 m, so the calculation is: 3.141592 x 10 x 10 = 314.159 m²

The area of a circular lawn is 628 m². How far is it across to the nearest meter?

[ ]	20
[ ]	24
[x]	28
[ ]	32

Remember, you are asked for the diameter not the radius

What is the correct formula for the circumference of a circle?

[x]	C = 2πr
[ ]	C = 2πd
[ ]	C = 2π
[ ]	C = 3πr

A circular lawn has a 20 m radius. What is the approximate circumference of the lawn?

[ ]	100 m
[x]	126 m
[ ]	150 m
[ ]	175 m

Using C = 2 π r, 2 x 3.141592 x 20, C = 125.66 m

10.

A round table has a diameter of 200 cm. What is the approximate circumference of the table?

[ ]	286 cm
[x]	628 cm
[ ]	1,256 cm
[ ]	I need to know the radius first

Using C = 2 π r, 2 x 3.141592 x 100, C = 628.3184 cm. Remember to use radius and not diameter!