Question

Draw a circle of 5.5 cm . Draw it's diameter and measure its length. Draw a line segment PQ=12 cm, passing through the centre of the circle. Write whether the points P and Q are interior or exterior.​

Answer 1

Step-by-step explanation:

Here, your radius is 5.5 cm.

Hence by the relation:

2r = d

Your diameter (d)

= 2(5.5)

= 11 cm.

Remember, the chord that passes through the center of the circle, and touches the circumference on both sides, is always the diameter.

Now, a line segment PQ is drawn passing through the center of the circle. It's length is 12 cm. But, our diameter's length is 11 cm.

So, there are 3 cases where points P and Q can lie:

1) both are outside of the circle, each being 0.5 cm away from the circumference.

2) point P is on the circumference, while point Q is outside, being 1 cm away from the circumference.

3) point Q is on the circumference, while point P is outside, being 1 cm away from the circumference.

Hope this helped.