In the above scenario, after drawing the circle with radius R, what is the next thing to be constructed?
In the above scenario, after drawing the circle with radius R, what is the next thing to be constructed?
The correct option is C The point O
Since we need to draw a circle with radius ‘r’, we need the following points:
i) Centre of the smaller circle
ii) Radius of the smaller circle.
We have the radius ‘r’ but we need to adjust the centre on the line OA.
Realising that the tangents are common to both the circles, the radius of each circle at their point of contact being perpendicular to the common tangent, we can say that the radii are parallel. So we also have the ratio PQ:QO because we have a pair of similar triangles.
But before we can do all this, we first need to have the line AO and even before that, the point O. Only then we can draw tangents and then the inner circle. So the next step would be determining the point ‘O’.
The point O
Since we need to draw a circle with radius ‘r’, we need the following points:
i) Centre of the smaller circle
ii) Radius of the smaller circle.
We have the radius ‘r’ but we need to adjust the centre on the line OA.
Realising that the tangents are common to both the circles, the radius of each circle at their point of contact being perpendicular to the common tangent, we can say that the radii are parallel. So we also have the ratio PQ:QO because we have a pair of similar triangles.
But before we can do all this, we first need to have the line AO and even before that, the point O. Only then we can draw tangents and then the inner circle. So the next step would be determining the point ‘O’.
