Segment: Real-world Applications in Cooking and Recipes
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of segments in circles through practical cooking scenarios. Students will practice calculating angles, areas, and lengths related to segments, applying their understanding to real-world contexts.
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Full preview • 11 questions
Segment: Real-world Applications in Cooking and Recipes
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the angle at the center of a circle if a segment subtends an arc of 60 degrees.
[2 marks]2.
Determine the length of the chord that subtends a 45-degree segment in a circle with radius 10 cm.
[3 marks]3.
A recipe requires a slice of pie that corresponds to a 90-degree segment of a circle of radius 8 cm. Calculate the area of this segment.
[4 marks]4.
Plot the graph of y=2x on the provided grid to help determine the length of a segment in a circle where the chord subtends a 120-degree arc.
[4 marks]5.
A cooking pan is a perfect circle with radius 12 cm. A segment of the pan is cut out for a handle, forming a 30-degree segment. Find the length of the arc of this segment.
[2 marks]6.
In a recipe, a pie slice corresponds to a segment with a chord length of 9 cm. If the radius of the pie is 10 cm, find the angle of the segment at the center.
[3 marks]7.
Calculate the height of a segment (the distance from the midpoint of the chord to the circle's edge) in a circle with radius 15 cm, where the segment subtends a 60-degree arc.
[3 marks]8.
A chef is designing a circular cake with a decorative segment. If the segment subtends a 45-degree arc and the radius is 20 cm, find the area of the segment.
[4 marks]9.
Identify and correct the mistake: A student calculates the area of a segment by using the formula for a sector without subtracting the triangular area under the chord.
[3 marks]10.
A 60-degree segment in a circle with radius 9 cm is used for a recipe portion. Calculate both the area of the segment and its arc length to determine the size of the portion.
[5 marks]11.
Challenge: Derive a general formula for the area of a segment given the radius and the central angle in degrees. Use this to find the segment area when the radius is 10 cm and the angle is 120 degrees.
[5 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet