Chord: Real-world Applications in Gaming & Technology
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
This worksheet explores the concept of chords within circles, focusing on real-world contexts such as gaming and technology. Students will practice calculating lengths, understanding properties, and applying chords in practical scenarios.
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Chord: Real-world Applications in Gaming & Technology
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a gaming console, a circular disc has a radius of 8 cm. A chord in the disc measures 12 cm. Calculate the perpendicular distance from the center of the disc to this chord.
[3 marks]2.
A circular ring in a virtual reality headset has a radius of 10 cm. A chord representing the path of a sensor detects an object at a 6 cm distance from the center. Find the length of the chord.
[4 marks]3.
A game design involves a circular arena of radius 15 meters. A beam of light is projected across the arena, forming a chord 24 meters long. What is the distance from the center of the arena to this chord?
[3 marks]4.
Construct a circle with a radius of 7 cm. Draw a chord that is 10 cm long. Using the grid, estimate the perpendicular distance from the center to this chord.
[3 marks]5.
In a virtual gaming environment, a circular display has a radius of 5 units. A chord measuring 6 units is drawn across it. Calculate the distance from the center to the chord.
[3 marks]6.
A circular drone flight zone has a radius of 20 meters. A restricted zone within the circle is defined by a chord of length 16 meters. Determine the distance from the center to this chord.
[4 marks]7.
A gaming app uses a circular progress bar with radius 9 cm. If a segment (chord) of length 12 cm is highlighted, find the perpendicular distance from the circle's center to the chord.
[3 marks]8.
Error Analysis: A student drew a chord 14 cm long in a circle with radius 10 cm and claimed the perpendicular distance from the center was 6 cm. Identify the mistake and calculate the correct distance.
[4 marks]9.
Challenge & Extension: In a game design, a circular shield has a radius of 25 meters. A special marking is a chord 30 meters long. How far is the marking from the shield's center?
[4 marks]10.
Mixed Review: The radius of a circle is 12 cm. A chord is drawn 5 cm away from the center. Calculate the length of this chord.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet