Question

In the diagram P is the centre of the circle with radius 4cm and Q is the centre of the circle with radius 3cm.
Of the points marked W, X, Y, Z which point is 4cm from P and more than 3cm from Q?

A) W
B) X
C) Y
D) Z

Answer 1

Hint:In this problem observe the distance of every point by comparing it with the radii of circles if they are close or far from the centre point if far then how much and if close then how much close. We just want an approximation for the circle with centre point Q.

Complete step-by-step answer:
Given: in this question we have given the two circles radius of one circle is 3cm with centre Q and the radius of other circle is 4cm with centre P and we have to find the point from W, X, Y, Z which point is 4cm from point P and more than 3cm from point Q.
Now, our first requirement is that the distance between the point and centre point P is 4cm, which means the point must be present on the circumference of the circle having radius 4cm.
So, when we see the given diagram we find that the W and X are present on the circumference of circle having radius 4cm and centre point P.
Now, we take another situation given in the question.
Which is the distance between the centre point Q and the point should be more than 3cm.
Which means the point must be present outside from the circle having centre point Q and radius 3cm so, W is the point which is 4cm from the centre point P and more than 3cm from the centre point Q.
Hence, the correct option is A.

Note:
Think about that if the point is inside the circle whose center point is Q, as the condition is the point is more than 3 cm from center Q, so X’, Y and Z cannot be the required point, because these points lie on the circle having radius 3 cm from the center Q.