Assertion (A): If the circumference of the circle is 176 cm, then its radius is 28 cm. Reason (R): Circumference of a circle

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Q.
Assertion (A): If the circumference of the circle is 176 cm, then its radius is 28 cm.

Reason (R): Circumference of a circle with radius $r = 2 π r$

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true.

Ans.
(1)

We have,
circumference of a circle = 176 cm

$2 π r = 176 \Rightarrow 2 \times \frac{22}{7} \times r = 176 \Rightarrow r = \frac{176 \times 7}{44} = 28 cm \Rightarrow r = 28 cm Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .$

Solution

Q.
Assertion (A): If the circumference of the circle is 176 cm, then its radius is 28 cm.

Reason (R): Circumference of a circle with radius $r = 2 π r$

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true.

Ans.
(1)

We have,
circumference of a circle = 176 cm

$2 π r = 176 \Rightarrow 2 \times \frac{22}{7} \times r = 176 \Rightarrow r = \frac{176 \times 7}{44} = 28 cm \Rightarrow r = 28 cm Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .$

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Solution

Q. Assertion (A): If the circumference of the circle is 176 cm, then its radius is 28 cm. Reason (R): Circumference of a circle with radius r=2πr

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A)

2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true.

Ans. (1) We have, circumference of a circle = 176 cm 2πr=176⇒2×227×r=176⇒r=176×744=28 cm⇒r=28 cmBoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

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Q.
Assertion (A): If the circumference of the circle is 176 cm, then its radius is 28 cm.

Reason (R): Circumference of a circle with radius $r = 2 π r$

Ans.
(1)

We have,
circumference of a circle = 176 cm

$2 π r = 176 \Rightarrow 2 \times \frac{22}{7} \times r = 176 \Rightarrow r = \frac{176 \times 7}{44} = 28 cm \Rightarrow r = 28 cm Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A) .$