Unit 12 · Class 7 IB MYP · MCQ Test
Circle Properties & Measurement MCQ Test — Class 7 IB MYP
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Circle Properties & Measurement — MCQ Questions
1Which of the following terms correctly describes a line segment that connects two points on the circumference of a circle and passes through its center?
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Answer: C. Diameter
Hint: Consider the special type of chord that divides a circle into two equal halves.
Solution:
A chord is a line segment connecting two points on the circumference of a circle.
A diameter is a special type of chord that passes through the center of the circle, making it the longest chord.
2If the radius of a circular clock face is 15 cm, what is the length of its diameter?
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Answer: B. 30 cm
Hint: Remember the fundamental relationship between the radius and the diameter of any circle.
Solution:
The diameter of a circle is twice the length of its radius. — d = 2r
Given the radius (r) = 15 cm, calculate the diameter (d): d = 2 × 15 cm = 30 cm.
3A small section of the curve that forms the boundary of a circle is best described as a/an:
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Answer: A. Arc
Hint: Think about what 'arc' means in everyday language, like an archway or a rainbow.
Solution:
An arc is a part of the circumference of a circle.
A sector is a region bounded by two radii and an arc. A segment is a region bounded by a chord and an arc. A chord is a straight line connecting two points on the circumference.
4A circular track in a park has a radius of 21 metres. Calculate the circumference of the track. Use π ≈ 22/7.
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Answer: D. 132 m
Hint: Recall the formula for the circumference of a circle, C = 2πr.
Solution:
The formula for the circumference of a circle is C = 2πr. — C = 2πr
Substitute the given radius (r = 21 m) and π ≈ 22/7 into the formula: C = 2 × (22/7) × 21.
Calculate the value: C = 2 × 22 × 3 = 132 m.
5The city of Paris has a famous roundabout, Place de l'Étoile, with a diameter of approximately 240 metres. What is the approximate distance a car travels if it drives once around the outer edge of the roundabout? Use π ≈ 3.14.
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Answer: C. 753.6 m
Hint: The distance around the outer edge is the circumference. Remember that C = πd or C = 2πr.
Solution:
The distance around the outer edge of a circle is its circumference. The formula using diameter is C = πd. — C = πd
Substitute the given diameter (d = 240 m) and π ≈ 3.14 into the formula: C = 3.14 × 240.
Calculate the value: C = 753.6 m.
6A circular metal ring has a circumference of 94.2 cm. What is the approximate radius of the ring? Use π ≈ 3.14.
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Answer: A. 15 cm
Hint: You need to work backwards from the circumference to find the radius. Start with the formula C = 2πr.
Solution:
The formula for the circumference of a circle is C = 2πr. — C = 2πr
Substitute the known circumference (C = 94.2 cm) and π ≈ 3.14 into the formula: 94.2 = 2 × 3.14 × r.
Simplify the equation: 94.2 = 6.28 × r.
Solve for r by dividing both sides by 6.28: r = 94.2 / 6.28 = 15 cm.
7Calculate the area of a circular garden bed with a radius of 5 metres. Use π ≈ 3.14.
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Answer: B. 78.5 m²
Hint: The formula for the area of a circle is A = πr².
Solution:
The formula for the area of a circle is A = πr². — A = πr²
Substitute the given radius (r = 5 m) and π ≈ 3.14 into the formula: A = 3.14 × (5)².
Calculate the value: A = 3.14 × 25 = 78.5 m².
8A circular tablecloth has a diameter of 1.2 metres. What is the area of the tablecloth? Use π ≈ 3.14.
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Answer: A. 1.1304 m²
Hint: Remember that the area formula uses the radius, so you'll need to find the radius from the given diameter first.
Solution:
First, find the radius (r) from the given diameter (d): r = d / 2 = 1.2 m / 2 = 0.6 m.
Next, use the formula for the area of a circle: A = πr². — A = πr²
Substitute the radius (r = 0.6 m) and π ≈ 3.14 into the formula: A = 3.14 × (0.6)².
Calculate the value: A = 3.14 × 0.36 = 1.1304 m².
9Alex was asked to find the area of a circle with a radius of 8 cm. He wrote down his solution as A = 2 × π × 8 = 16π cm². What mistake did Alex make?
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Answer: A. He used the circumference formula instead of the area formula.
Hint: Compare the formula Alex used with the correct formula for the area of a circle.
Solution:
Alex used the formula A = 2πr. This is the correct formula for the circumference of a circle, not the area.
The correct formula for the area of a circle is A = πr².
10A semi-circular window pane has a diameter of 80 cm. What is the area of the glass in the window pane? Use π ≈ 3.14.
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Answer: C. 2512 cm²
Hint: Calculate the area of a full circle first, then remember that a semi-circle is half of a full circle.
Solution:
First, find the radius (r) from the given diameter (d): r = d / 2 = 80 cm / 2 = 40 cm.
Next, calculate the area of a full circle: A_full = πr² = 3.14 × (40)² = 3.14 × 1600 = 5024 cm².
Since the window pane is semi-circular, its area is half of the full circle's area: A_semi = A_full / 2 = 5024 cm² / 2 = 2512 cm².
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Tips for Circle Properties & Measurement MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Circle Properties & Measurement MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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