The Three Semicircles Challenge

Areas Related to CirclesVideo challenge · SAV20

The Three Semicircles Challenge

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 8

The problem

A large semicircle sits on diameter ABAB. Two smaller touching semicircles are drawn inside along ABAB, meeting at CC. A perpendicular to ABAB at CC meets the large semicircle at DD. If CD=6 cmCD = 6\text{ cm}, find the exact area of the shaded region between the three semicircles.

Step 1 · Your move

Before seeing the step-by-step breakdown, what is the exact shaded area you found?

ACBDCD = 6 cm
Shaded area =?= ?
Three semicircles on AB · Perpendicular CD ⊥ AB · CD = 6 cm
Helpful?