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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30°?
Solution:
We know that
The perimeter of a circle = 2πr
Where r is the radius of the circle
Here
A complete circle is made by 360° angle = 2πr
The arc length made by 1° angle = 2πr/360°
The arc length made by 30° angle = [2πr/360°] × 30°
By further calculation
= [(2 × π × 3)/360°] × 30°
So we get
= 1.57 meters
Therefore, arc length subtended by 30° angle is 1.57 meters.
If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30°?
Summary:
If the radius of a circle is 3 meters, the length of the arc subtended by an angle measuring 30° is 1.57 meters.
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