Problem Set 30 – Interior and Exterior of a CircleClass 5 Maths · Chapter 7 Circles · Problem Set 30 – Maharashtra Board

Summary: Problem Set 30 – Interior and Exterior of a Circle

A circle divides a flat surface into three places: inside, on the circle, and outside.

All the points inside the circle make up its interior. The centre is in the interior.

All the points outside the circle make up its exterior.

Points lying on the curved line itself are points on the circle.

Rule with the radius: closer to the centre than the radius → interior; exactly the radius → on the circle; farther → exterior.

Key points to remember

• Interior = inside the circle
• Exterior = outside the circle
• On the circle = on the curved line
• The centre is always in the interior
• Distance from centre < radius → interior
• Distance = radius → on the circle
• Distance > radius → exterior
• Every point is in exactly one of the three places

Problem Set 30 – Interior and Exterior of a Circle – Notes

1. The 'Land and Sea' game

• Draw a big circle on the ground. Inside it is the 'sea'; outside it is the 'land'.
• Children standing inside are in the interior of the circle.
• Children standing outside are in the exterior. A child standing exactly on the chalk line is on the circle.

2. Interior of a circle

• The whole region inside the circle is its interior.
• If you colour the inside of a circle, you have coloured its interior.
• The centre and every point of a radius (except the end on the circle) lie in the interior.

3. Exterior of a circle

• Everything outside the circle is its exterior.
• The exterior goes on and on — it has no end.

4. Points on the circle

• Points that lie on the curved line are on the circle, not inside and not outside.
• The ends of a chord and of a diameter are always on the circle.

5. Use the radius to decide

• Measure the distance from the centre to the point and compare it with the radius.
• Less than the radius → interior. Equal → on the circle. More → exterior.

Formulas at a glance

Key terms

Problem Set 30 – Interior and Exterior of a Circle – Flashcards

Read the question, answer it in your head, then tap the card to check. 10 cards.

Problem Set 30 – Interior and Exterior of a Circle – MCQ Quiz

10 questions. Tap an option — you will see at once if it is right and why.

How to study Problem Set 30 – Interior and Exterior of a Circle

⏱ About 15 minutes

1. Learn (5 min)
   Learn the words interior, exterior and on the circle.
2. Mark (5 min)
   Draw a circle and mark 3 points inside, 3 on it and 3 outside. Label each.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.