Question

13. (a) In the figure () given below, AB = 8 cm and M is mid-point of AB. Semicircles
are drawn on AB, AM and MB as diameters. A circle with centre C touches all
three semicircles as shown, find its radius.
waisting all points​

Answer 1

Answer:

From the figure, it can be observed that ΔOMD is a right-angled triangle.

It is given that AB = 8 cm

∴ PM = MB = AM == 4 cm

Here, OM = PM – PO = 4 – x, MD == 2 cm and OD = x + 2

Applying Pythagoras theorem in right ΔOMD, we have:

Hence, the radius of the circle is 1.33 cm

Answer 2

Answer:

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