Fraction of Circle: Real-world Applications
Mathematics
Grade 6
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet exploring fractions of circles through real-world scenarios and calculations, designed for Grade 6 students.
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Fraction of Circle: Real-world Applications
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Introduction
Review the concept of a fraction of a circle. The area of a sector is given by (θ/360) × π r², where θ is the central angle in degrees and r is the radius.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a sector with a central angle of 60° in a circle with radius 10 cm.
[2 marks]2.
A circle has a radius of 7 meters. Find the area of a sector with a central angle of 90°.
[2 marks]3.
A pizza is cut into 8 equal slices. If one slice corresponds to a sector with an angle of 45°, what is the total area of the pizza with radius 12 inches?
[3 marks]4.
A circular fountain has a radius of 5 meters. If a segment of the fountain with a central angle of 120° is drained, what is the drained area?
[3 marks]5.
Plot the graph of y = 2x for x values from 0 to 10 on the grid.
[2 marks]6.
Construct a sector with a radius of 8 cm and a central angle of 135° on the grid.
[3 marks]7.
A circular track has a radius of 30 meters. If a runner completes 1/4 of the track, what is the length of the path traveled?
[2 marks]8.
A garden pond is circular with radius 4 meters. If a segment of 150° is dried, what is the area dried?
[3 marks]9.
A cake is baked in a circular pan with radius 9 inches. If a slice of the cake is cut with a central angle of 30°, what is the area of the slice?
[3 marks]10.
Identify and correct the mistake: A student calculates the sector area with radius 6 cm and angle 180° as 36π cm², but the correct area should be 18π cm².
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet