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Ex 6.1, 5 (ii) Find the perimeters of the following shapes (taking the arcs to be quarter or half or three-quarters of a circle, as appropriate) Let’s label all sides and radius Here, there are two straight edges And, Length of one straight edge = (𝟏𝟐 βˆ’ πŸ–)/𝟐 = 4/2 = 2 cm Now, Perimeter of shape = Perimeter of semicircle with Diameter 12 cm + Perimeter of semicircle with Diameter 8 cm + Length of two straight edges = Perimeter of semicircle with Radius 6 cm + Perimeter of semicircle with radius 4 cm + 2 Γ— Length of one straight edge = 1/2 Γ— 2πœ‹ Γ— 6+1/2 Γ— 2πœ‹ Γ— 4+2 Γ— 2 = 𝝅 Γ— πŸ”+𝝅 Γ— πŸ’+𝟐 Γ— 𝟐 = πœ‹ Γ— (6+4)+4 = πŸπŸŽπ…+πŸ’ = 10 Γ—22/7+4 = 220/7+4 = (220 + 4 Γ— 7)/7 = (220 + 28)/7 = 248/7 = 35.42 cm

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Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

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