A circle is a simple closed shape where all points have the same distance from the centre. The centre of a circle is the centre point in a circle, from which all the distances to the points on the circle are equal. The radius is the distance from the centre to any point on the circle. The diameter of the circle is defined as the distance across the circle. The length of any chord passing through the centre is called the diameter of the circle. It is twice the radius.
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.
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)
ØCircumference 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)
ØArea of circle = πr2
Ø= π * r * r = 22/7 * 5 * 5
Ø= (22 * 25)/7
Teachers are looking for lessons, activities, worksheets, quiz, mock test papers that are suitable for 7th grade math. Here's your compilation of lessons suitable for 7th grade to share with your students.
Circle Practice Problems
Circle Unit Test
Studying grade 7 circles help students to develop a robust understanding of basic concepts related to circles and their components.
What teachers are saying about BytelearnWhat teachers are saying
19-year math teacher Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
4-year math teacher Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Dean, math program manager, principal Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”