Chord: Mixed Review
Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet reviewing key concepts of chords in circles, including calculations, reasoning, and real-world applications for Grade 8 students.
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Full preview • 11 questions
Chord: Mixed Review
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a circle with radius 10 cm, a chord is 16 cm long. Calculate the perpendicular distance from the center of the circle to this chord.
[2 marks]2.
Construct a chord of length 12 cm in a circle with radius 8 cm. Show all construction steps on the grid.
[3 marks]3.
A chord is 14 cm long in a circle, and its distance from the center is 9 cm. Find the radius of the circle.
[2 marks]4.
In a circle, two chords of lengths 10 cm and 24 cm intersect inside the circle. The segment of the shorter chord from the intersection point is 4 cm. What is the length of the segment of the longer chord from the intersection?
[4 marks]5.
The perpendicular bisector of a chord in a circle passes through the center. If a chord is 20 cm long and its perpendicular distance from the center is 8 cm, find the radius of the circle.
[3 marks]6.
A circle has a radius of 15 cm. A chord is 24 cm long. Calculate the distance from the center of the circle to this chord.
[2 marks]7.
In the diagram, a chord AB is 18 cm long, and the perpendicular from the center O to AB meets AB at point M. If OM = 7 cm, find the radius of the circle.
[3 marks]8.
A circle with radius 12 cm has a chord that is 16 cm long. Find the measure of the central angle subtended by this chord.
[3 marks]9.
A chord of length 20 cm in a circle is such that the distance from the center to the chord is 12 cm. Find the radius of the circle.
[3 marks]10.
Identify and correct the mistake in the following statement: 'In a circle, all chords are equal in length if they are equidistant from the center.'
[2 marks]11.
Two chords in a circle intersect, creating segments of lengths 9 cm and 12 cm on one chord. The segments on the other chord are 7 cm and x cm. Find x.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet