Question

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An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round ? Remember, the circumference of a circle can be obtained by using the expression C = 2πr, where r is the radius of the circle.​

Answer 1

Answer:

(a) 7.2 cm

(b) 10.2 cm

(c) 8.4 cm

Step-by-step explanation:

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(a) Distance covered to take a round by the ant

→ $\dfrac{1}{2}$ × 2πr + 2r

→ πr + 2r

→ $\dfrac{22}{7}$ × 1.4 + 2 × 1.4

→ 7.2 cm

(b) Distance covered to take a round by the ant

⇒ 1.5 + 1.5 + 2.8 + $\dfrac{1}{2}$ × 2πr

⇒ 5.8 + πr

⇒ 5.8 + $\dfrac{22}{7}$ × 1.4

⇒ 10.2 cm

(c) Distance covered to take a round by the ant

↦ $\dfrac{1}{2}$ × 2πr + 2 + 2

↦ πr + 4

↦ $\dfrac{22}{7}$ × 1.4 + 4

↦ 8.4 cm

Answer 2

Answer:

(a) 7.2 cm

(b) 10.2 cm

(c) 8.4 cm

Step-by-step explanation:

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