33. An ant travels around a circular track of arc length 22cm. At an instant, it makes an angular displacement 45°, then the radius of that circular track isa) 0.20 cmb) 1.80 cmc) 0.18 cmd) 0.48 cm please fast
Question
- An ant travels around a circular track of arc length 22cm. At an instant, it makes an angular displacement 45°, then the radius of that circular track isa) 0.20 cmb) 1.80 cmc) 0.18 cmd) 0.48 cm please fast
Solution
The formula to calculate the arc length of a circle is:
Arc length = radius * angle (in radians)
We know the arc length (22 cm) and the angle (45°), but we need to convert the angle to radians first.
1 radian = 180°/π So, 45° = 45 * π/180 = π/4 radians
Now we can substitute the values into the formula and solve for the radius:
22 cm = radius * π/4 radius = 22 * 4/π radius = 88/π cm
Therefore, none of the options given (a) 0.20 cm, b) 1.80 cm, c) 0.18 cm, d) 0.48 cm) match the correct answer.
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