Find the circumference of a circle whose radius is
(I)5.6 cm
(ii) 49 cm
(iii) 63 cm
(iv) 8.4 cm
(v) 4.2 cm
Answers
Answer:
1. circumference of a circle = 2πr
so, 2×22/7 ×5.6 = 2×22×5.6/7 =
44×5.6/7 = 246.4/7 = 35.2cm
2. circumference of a circle = 2πr
so, 2×22/7×49
= 44×49/7 = 2156/7 = 308cm
3. circumference of a circle = 2πr
so, 2×22/7×63 = 2×22×63/7 = 44×63/7 = 2772/7 =
396cm
4. circumference of a circle = 2πr
so, 2×22/7×8.4 =2×22×8.4/7 = 44×8.4/ 7 =
369.6/7 = 52.8cm
5. circumference of a circle = 2πr
so, 2×22/7×4.2 = 2×22×4.2/7 = 44×4.2/7 = 184.8/7
26.4 cm .
hope it helps you
Given:-
- Radius of different circles
To find:-
- Circumference of each circle.
Solution:-
(i) 5.6 cm
⟶ Here radius = 5.6
We know,
- Circumference of the circle = 2πr
Hence,
Circumference = 2 × 22/7 × 5.6
⇒ Circumference = 2 × 22 × 0.8
⇒ Circumference = 44 × 0.8
⇒ Circumference = 35.2 cm
∴ Circumference of the circle is 35.2 cm
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(ii) 49 cm
⟶ Here radius = 49 cm
Hence,
Circumference = 2πr
⇒ Circumference = 2 × 22/7 × 49
⇒ Circumference = 2 × 22 × 7
⇒ Circumference = 44 × 7
⇒ Circumference = 308 cm
∴ Circumference of the circle is 308 cm
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(iii) 63 cm
⟶ Here radius = 63 cm
Hence,
Circumference = 2πr
⇒ Circumference = 2 × 22/7 × 63
⇒ Circumference = 2 × 22 × 9
⇒ Circumference = 44 × 9
⇒ Circumference = 396 cm
∴ Circumference of the circle is 396 cm
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(iv) 8.4 cm
⟶ Here radius = 8.4
Hence,
Circumference = 2πr
⇒ Circumference = 2 × 22/7 × 8.4
⇒ Circumference = 2 × 22 × 1.2
⇒ Circumference = 44 × 1.2
⇒ Circumference = 52.8 cm
∴ Circumference of the circle is 52.8 cm
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(v) 4.2 cm
⟶ Here radius = 4.2 cm
Hence,
Circumference = 2πr
⇒ Circumference = 2 × 22/7 × 4.2
⇒ Circumference = 2 × 22 × 0.6
⇒ Circumference = 44 × 0.6
⇒ Circumference = 26.4 cm
∴ Circumference of the circle is 26.4 cm
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