# Radius, diameter, and circumference and area of Circles

## Grade 7 Math Worksheets

A circle is a plane round figure in which all points are equidistant from the center.

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**Radius** is a line segment that joins the center of circle to any point on the circumference of circle.

**Diameter** is a straight line segment passing through the center of circle, the endpoints of which touches the circumference of circle.

**Circumference **of circle is the distance around the circle.

Circumference of circle = 2π× radius = π× diameter

**Area of circle** = π× (radius)^{2}

*Example: *What is the radius of circle with diameter 12 inches?

Radius of circle = = = 6 inches

** Example: If the circumference of circle is 88 cm, then what is the radius of circle?** (Use π= )

2π*r* = 88

2 ××*r* = 88 implies *r* = 14 cm

**Check Point:**

- What is the radius of circle with circumference 24π in?
- What is the area of circle with circumference 30.2 yards? Round your answer to the nearest tenth. (Use π = 3.14)
- What is the area of circle with diameter 6 yards? Round your answer to the nearest tenth. (Use π = 3.14)
- What is the diameter of circle with circumference 63 feet? Round your answer to the nearest whole. (Use π = 3.14)
- What is the circumference of circle with area 12.6 in
^{2}? Round your answer to the nearest tenth. (Use π = 3.14)

##### Answer key

- 12 in.
- 6 yd
^{2} - 3 yd
^{2} - 20 feet
- 6 in

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