the boundary of the shaded region is given figure consists of three semicircles the smaller begin equal if the diameter of the larger one is 28 cm find ( 1 )the length of the boundary (2) the area of the shaded region ,,,, plz ans it correctly I will mark as brainliest answer
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(1) 31.4 cm
(2) 39.25 cm²
Step-by-step explanation:
From figure:
⇒ Diameter of larger arc = AB = 10 cm.
⇒ Diameter of smaller arc = AC = BC = 5 cm.
(i) Length of boundary:
= Length of semicircle ADB + Length of semicircle BEC + Length of semicircle AFC
= [1/2 π (10) + 1/2 π (5) + 1/2 π(5)]
= [5π + 10π/2]
= [5π + 5π]
= 10π
= 10 * 3.14
= 31.4 cm.
(ii) Area of shaded region:
Area of semi-circle ADB - Area of semicircle AFC + Area of semicircle BEC
= [1/2 * π * (5)² - (1/2) * π * (2.5)² + (1/2) * π * (2.5)²]
= [1/2 * π * 25]
= [25π/2]
= 39.25 cm²
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