The length of arc to the nearest 10th is 26 units.
A circle is a shape produced by all points in a plane at a specific distance from the center.
Given a circle of radius (r) = 2.9, an angle of 1.8 radians intercepts an arc.
The length of the arc must be determined.
(angle measure / 2) × (circumference of circle) equals arc length
Angle = (8.9 radians) × (180 degrees / π )
We know π = 3.14
Angle = 8.9 ×180 / 3.14
= 1602 / 3.14
= 510.19°
Angle measurement is 510.19 degrees.
Circumference: 2 × π × r
= 2 × 3.14 × 2.9
= 18.212 units
Arc length = (Arc length / 360) × Circumference
= 510.19 / 360 × 18.212
= 9,290.5599 / 360
= 25.81 units
As a result, the length of the are is 25.81 units. Rounding off to nearest tenth, it will be 26 units.
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