Mastering Circle Theorems
Mathematics
Grade 7
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A worksheet covering Circle Theorems for Grade 7 students.
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Mastering Circle Theorems
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Read the brief explanation below before attempting the questions.
In circle theorems, angles subtended by the same arc are equal, and angles in a semicircle are always right angles. These properties help us solve various problems involving circles and angles.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a circle, an inscribed angle subtends a diameter. What is the measure of this angle?
[2 marks]2.
If two angles subtend the same arc in a circle, what is their relationship?
[2 marks]3.
Calculate the measure of an inscribed angle that subtends an arc measuring 80°.
[3 marks]4.
In a circle, a diameter AB is drawn. An angle inscribed in the circle subtends arc AB. What is the measure of this angle?
[2 marks]5.
A quadrilateral inscribed in a circle has angles measuring 85°, 95°, 100°, and x°. Find x°.
[3 marks]6.
Explain why the angles in a cyclic quadrilateral add up to 360°.
[4 marks]7.
Two inscribed angles subtend the same arc in a circle. If one measures 70°, what is the measure of the other?
[2 marks]8.
A chord in a circle creates an angle of 50° at the center. What is the measure of the inscribed angle subtended by the same chord?
[3 marks]9.
Identify a real-world scenario where circle theorems could be applied, such as in engineering or architecture.
[4 marks]10.
Challenge: A circle has a radius of 7 cm. An inscribed triangle has one angle measuring 60°. Find the measure of the opposite arc.
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet