Question

In the figure given below, the area of the shaded
region is 44 cm. O is the centre of the semi-cir-
cle, OE IOD and OC I AB. The area of the
region POQR (in cm²) if OE = 7 cm is_____

Answer 1

Answer:

16 cm

Step-by-step explanation:

∆OED ↦

1 49

A 1 = ── × 7 × 7 = ───

2 2

∆ OCB ↦

1 49

A2 = ── ×7 × 7 = ──

2 2

Now,

π r²

44= ─── - ( A1 - A2) + POQR

2

22 1 49 49

=> 44 = ─── × ── × 49 - ── - ─── + A

7 2 2 2

=> 77 - 49 + A

=> A = 44 -28

=> A = 16 cm