Answer :

To find the radius of the circle, given that the circumference is 176 cm, we use the formula for the circumference of a circle:

[tex]\[ C = 2 \times \pi \times r \][/tex]

Where:
- [tex]\( C \)[/tex] is the circumference
- [tex]\( r \)[/tex] is the radius
- [tex]\(\pi\)[/tex] (pi) is approximately 3.14

Rearranging the formula to solve for the radius [tex]\( r \)[/tex], we have:

[tex]\[ r = \frac{C}{2 \times \pi} \][/tex]

Now, let's plug in the given circumference:

[tex]\[ r = \frac{176}{2 \times \pi} \][/tex]

Calculating:

1. Calculate [tex]\( 2 \times \pi \)[/tex]:
[tex]\[ 2 \times \pi \approx 2 \times 3.14 = 6.28 \][/tex]

2. Divide the circumference by [tex]\( 6.28 \)[/tex]:
[tex]\[ r \approx \frac{176}{6.28} \approx 28.01 \][/tex]

The radius of the circle is approximately 28.01 cm. Comparing this with the given options:
- Choice (a) 44 cm
- Choice (b) 23 cm
- Choice (c) 28 cm

The radius closest to the calculated value of 28.01 cm is 28 cm.

Therefore, the radius of the circle is [tex]\( \boxed{28 \text{ cm}} \)[/tex].

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Rewritten by : Barada