Carts and Wheels

In the given diagram of a wheel, look at the line segment $OP$ connecting the center $O$ to a point $P$ on the boundary. What is this line segment called?

If you use a small nail and a string to trace a path, the shape formed will be a:

Which of these is the longest line segment that can be drawn inside a circle?

What is the instrument used to draw a perfect circle?

In the diagram, if the radius of the outer circle is $15$ cm and the distance between the two circles is $5$ cm, what is the radius of the inner circle?

If the radius of a wheel is $r$ and the diameter is $d$, which relationship is correct?

Look at the pattern. If each small circle has a radius of $2$ cm, what is the total width of the rectangle?

Two circles are placed such that they touch each other at exactly one point. If the radius of the first circle is $8$ cm and the radius of the second circle is $12$ cm, what is the distance between their centers?

A square has a side of $20$ cm. What is the radius of the largest circle that can be drawn completely inside this square?

A wire of length $44$ cm is bent into the shape of a circle. What will be the approximate diameter of this circle? (Assume Circumference $\approx \frac{22}{7} \times$ diameter)

What is the diameter of a circular pond with a radius of $40$ meters?

If a round carpet has a diameter of $2$ meters, what is its radius?

What is the diameter of a circle with a radius of $22$ cm?

Find the radius of a circle that has a diameter of $26$ cm.

A circular running track has a radius of $50$ meters. What is the length of a straight path across the track that passes through the center?

If the diameter of a circle is $10$ cm, its radius is:

The radius of a circle is $17$ cm. What is its diameter?

A square has a perimeter of $32$ cm. If a circle is drawn inside the square such that it touches all sides, what is its radius?

The diameter of a circle is $D$. If we increase the radius by $5$ cm, the new diameter will be:

A circle is drawn with a radius of $25$ cm. A line segment is drawn from one point on the edge, through the center, to the other edge. What is the length of this segment?

Which of these objects can be used to trace a circle but NOT to find its exact center easily?

Two circles are drawn using the same center point. The first has a radius of $2$ cm and the second has a radius of $4$ cm. What are these circles called?

What is the relationship between the radius ($r$) and the diameter ($d$) of a circle?

If you draw a circle using a bangle, which part of the circle is most difficult to find without folding it?

If you move the metal tip of the compass while drawing, what will happen to the shape?

A circle is drawn by joining two semi-circles of radius $10$ cm each. What is the diameter of the full circle?

Which of the following points is at the greatest distance from the center of the circle shown?

In a geometry project, a student draws a circle and finds that the longest line segment that can fit inside it is $16$ cm. To draw this exact circle, how many centimeters should the student measure between the compass needle and the pencil tip?

A robot is programmed to move in a circle. It is tethered to a point $P$ by a wire that is $150$ cm long. What is the maximum distance the robot can be from another robot tethered to the same point $P$ if the second robot's wire is only $50$ cm long?

Using a compass, Rahul draws a semi-circle (half circle) by keeping the needle at point $M$. If the distance from $M$ to the end of the arc is $5$ cm, what is the length of the straight line connecting the two ends of the semi-circle?

Which part of the circle is exactly half of the diameter?

If the radius of a circle is $25$ cm, what is its diameter?

What is the shape of a chapati?

If the diameter of a circle is $16$ cm, find the radius.

The diameter of a circle is $16$ cm. How long is its radius?

If the radius of a circle is $3.5$ cm, what is its diameter?

A line joining two points on a circle and passing through the center is the ____.

If you double the diameter of a circle, what happens to its radius?

A circle has a radius of $12 \text{ cm}$. Which of the following lengths could be a chord that passes through the center?

If the diameter of a circle is $100 \text{ cm}$, what is the radius in meters?