Class 4 Exam > Class 4 Questions > If the diameter of a circle is 20 cm, its rad...
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If the diameter of a circle is 20 cm, its radius will be —————
- a)40 cm
- b)10 cm
- c)5 cm
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb...
To find the radius of a circle, you simply divide the diameter by 2. So, if the diameter is 20 cm, the radius is 20 cm / 2 = 10 cm.
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If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb...
Explanation:
To understand why the correct answer is option 'B', let's review the definitions of diameter and radius in relation to a circle.
Diameter:
The diameter of a circle is a straight line that passes through the center of the circle and touches two points on its circumference. It is the longest chord in a circle.
Radius:
The radius of a circle is a straight line segment that connects the center of the circle to any point on its circumference. It is half the length of the diameter.
Relationship between Diameter and Radius:
The diameter and radius of a circle are related by the formula:
Diameter = 2 * Radius
This means that the diameter is always twice the length of the radius.
Applying the formula:
In the given question, the diameter of the circle is 20 cm. We need to find the radius.
Let's substitute the values into the formula:
Diameter = 2 * Radius
20 cm = 2 * Radius
To isolate the radius, we divide both sides of the equation by 2:
20 cm / 2 = Radius
10 cm = Radius
Therefore, the radius of the circle is 10 cm.
Conclusion:
The correct answer is option 'B' (10 cm) because the radius of a circle with a diameter of 20 cm is 10 cm.
To understand why the correct answer is option 'B', let's review the definitions of diameter and radius in relation to a circle.
Diameter:
The diameter of a circle is a straight line that passes through the center of the circle and touches two points on its circumference. It is the longest chord in a circle.
Radius:
The radius of a circle is a straight line segment that connects the center of the circle to any point on its circumference. It is half the length of the diameter.
Relationship between Diameter and Radius:
The diameter and radius of a circle are related by the formula:
Diameter = 2 * Radius
This means that the diameter is always twice the length of the radius.
Applying the formula:
In the given question, the diameter of the circle is 20 cm. We need to find the radius.
Let's substitute the values into the formula:
Diameter = 2 * Radius
20 cm = 2 * Radius
To isolate the radius, we divide both sides of the equation by 2:
20 cm / 2 = Radius
10 cm = Radius
Therefore, the radius of the circle is 10 cm.
Conclusion:
The correct answer is option 'B' (10 cm) because the radius of a circle with a diameter of 20 cm is 10 cm.
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If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb)10 cmc)5 cmd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb)10 cmc)5 cmd)none of theseCorrect answer is option 'B'. Can you explain this answer? for Class 4 2025 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb)10 cmc)5 cmd)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb)10 cmc)5 cmd)none of theseCorrect answer is option 'B'. Can you explain this answer?.
If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb)10 cmc)5 cmd)none of theseCorrect answer is option 'B'. Can you explain this answer? for Class 4 2025 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb)10 cmc)5 cmd)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the diameter of a circle is 20 cm, its radius will be —————a)40 cmb)10 cmc)5 cmd)none of theseCorrect answer is option 'B'. Can you explain this answer?.
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