Question

Nancy cuts out three circles A, B and C and arranges them as shown in the figure below.

If the circumferences are known to be 8 cm, 4 cm and 6 cm, can you help her match the circles to its circumferences?

• A. A $\to$ 6 cm, B $\to$ 4 cm, C $\to$ 8 cm
• B. A $\to$ 6 cm, B $\to$ 8 cm, C $\to$ 4 cm
• C. A $\to$ 8 cm, B $\to$ 4 cm, C $\to$ 6 cm
• D. A $\to$ 8 cm, B $\to$ 6 cm, C $\to$ 4 cm

Answer 1

The correct option is D A $\to$ 8 cm, B $\to$ 6 cm, C $\to$ 4 cm

We know that larger the circle, larger will be its circumference.

From the figure given, it is clear that A is the largest circle and C is the smallest circle.

That is, the distance around circle A is the largest and that around circle C is smallest.

$\therefore$ A will have the largest circumference and C will have the smallest circumference.

$\therefore$ A $\to$ 8 cm and C $\to$ 4 cm.

$\therefore$ B $\to$ 6 cm

Thus, the correct option is A $\to$ 8 cm, B $\to$ 6 cm, C $\to$ 4 cm.