Maharashtra Board Class 5 Maths Chapter 7 Circles Set 29 Solutions

Question 1. If the radius of a circle is 5 cm, what will its diameter be?
Answer:
Solution:
Diameter
= 2 x radius
= 2 x 5 = 10 cm
In simple words: The diameter of a circle is always twice its radius. So, if the radius is 5 cm, the diameter is 2 times 5 cm, which is 10 cm.

🎯 Exam Tip: Remember the relationship between radius and diameter (diameter = 2 × radius or radius = diameter ÷ 2) as it is fundamental for solving circle-related problems.

Question 2. If the diameter of a circle is 6 cm, what will its radius be?
Answer:
Solution:
Radius
= diameter ÷ 2
= 6 ÷ 2
= 3 cm
In simple words: The radius of a circle is half of its diameter. Therefore, if the diameter is 6 cm, the radius is 6 divided by 2, resulting in 3 cm.

🎯 Exam Tip: Understanding how to find the radius from the diameter is just as important as the reverse. Practice both conversions to avoid errors.

Question 3. Complete the following table by filling in the blanks.

Answer:

In simple words: This table illustrates the direct relationship between a circle's radius and its diameter, where the diameter is always twice the radius, and the radius is always half the diameter. Students can easily fill in the blanks by applying these simple multiplication and division rules.

🎯 Exam Tip: Pay close attention to each row and column in table-filling questions. Carefully calculate each missing value using the radius-diameter relationship to ensure accuracy.

The Interior And The Exterior Of A Circle

We play 'Land and Sea' inside a circle on the playground. In this game, the children inside the circle are in the 'sea', while the children outside the circle are on 'land'. In the picture alongside, K, L, M and N are points on a circle with centre T.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक वृत्त को दर्शाता है जिसका केंद्र T है। वृत्त की परिधि पर बिंदु K, L, M और N स्थित हैं। वृत्त के अंदर, केंद्र T के साथ, बिंदु P, Q और R दिखाए गए हैं, जो वृत्त के आंतरिक भाग में हैं। वृत्त के बाहर, बिंदु A, B, C और D स्थित हैं, जो वृत्त के बाहरी भाग को दर्शाते हैं। The coloured area inside the circle in the picture is the interior of the circle. P, Q, R and T are points in the interior of the circle. A, B, C and D are points in the exterior of the circle.

Circles Problem Set 29 Additional Important Questions And Answers

Question 1. If the radius of a circle is 3.5 cm, what will its diameter be?
Answer:
Solution:
Diameter
= 2 x radius
= 2 x 3.5
= 7 cm
In simple words: To find the diameter from the radius, simply double the radius. For a radius of 3.5 cm, the diameter is 7 cm.

🎯 Exam Tip: Quickly recall the formula: diameter = 2 × radius. Precision in multiplication is key for accurate results.

Question 2. If the diameter of a circle is 5 cm, what will its radius be?
Answer:
Solution:
Radius
= Diameter ÷ 2
= 5 ÷ 2
= 2.5 cm
In simple words: The radius is half of the diameter. So, dividing the diameter of 5 cm by 2 gives a radius of 2.5 cm.

🎯 Exam Tip: When dividing by 2, especially with odd numbers, ensure you correctly handle decimal points for the radius calculation.