7th Grade Math Circles

Important points of the circle

• The distance around the outside of the circle is called the circumference of the circle.
• Circumference of the circle = 2πr.
• Area of circle = π * (radius)² = π * r² = πr²
• The circles are said to be congruent if they have equal radii.
• Equal chords of a circle subtend equal angles at the centre.
• The radius drawn perpendicular to the chord bisects the chord.
• Circles having different radii are similar.
• The chords that are equidistant from the centre are equal in length.
• The distance from the centre of the circle to the longest chord (diameter) is zero.

Circle Example

Here are a few examples of grade 7 circle problems.

1.    Find the circumference of the circles with a radius of 14 cm (Take π = 22/7)

Ø  Circumference of the circle = 2πr

Ø  = 2 * 22/7 * 14

Ø  = 2 * 22 * 2

Ø  = 88 cm

2. Find the area of the following circles with a radius of 5 cm (Take π = 22/7)

Ø  Area of circle = πr² 

Ø  = π * r * r = 22/7 * 5 * 5

Ø  = (22 * 25)/7

Ø  = 550/7mm²

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Sum Up

Studying grade 7 circles help students to develop a robust understanding of basic concepts related to circles and their components.