In the given figure, AB = (BC/2) , where BC = 14 cm (Use π = 22/7 ). Find :
(i) Area of quad. AEFD
(ii) Area of ∆ABC
(iii) Area of semicircle.
Hence find the area of shaded region.
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7
Answer:
- area of quad. AEFD is = 196
- 14cm^2
- 77cm^2
Answered by
20
(i) Area of quad. AEFD = 196 cm²
(ii) Area of ∆ABC = 49 cm²
(iii) Area of semicircle = 77 cm²
The area of ∆ABC = 1/2 × AB × BC
( Using the formula area = 1/2 base × height )
AB = BC /2 = 7cm
=> 1/2 × 7 × 14
=> 49 cm²
The quadrilateral AEFD is a square as all the sides are equal i.e, equal to 14 cm -
The area of AEFD = 14 × 14
=> 196 cm²
The semicircle has a diameter BC = 14 cm and radius = 7 cm.
Area of the semicircle = π radius²/2
=> 22/7 × 49/2
=> 77 cm²
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