The center angle of an arc is 250 °, and the arc length of the arc is equal to the circumference of a circle with a radius of 3cm. Calculate the radius of the arc

The center angle of an arc is 250 °, and the arc length of the arc is equal to the circumference of a circle with a radius of 3cm. Calculate the radius of the arc

Let the radius of the arc be X
Circumference = π * 2 * x = 2x π
Circumference of a circle with a radius of 3cm = π * 2 * 3 = 6 π
6π/2Xπ＝250/360
3/X＝25/36
X＝108/25
The radius of the arc is 108 / 25

If the length of an arc is equal to one third of the radius, the center angle of the arc is

2nπr/360°＝r/3
n＝60°/π≈19.11°

The central angle of an arc is 300 °, and the length of the arc is equal to the circumference of the circle with a radius of 6cm. Find the radius of the arc

Arc length = circumference of a circle with a radius of 6cm = 12 π, while radius * degrees / 360 ° = arc length,
So radius = 12 π / (300 ° / 360 °) = 72 π / 5

There is a curve in the shape of an arc with a length of 12 meters. The center angle of the arc is 80 degrees. Calculate the radius of this arc. It is accurate to 0.1

According to the meaning of the topic, the track length is the arc length. The calculation of the arc length can be compared with the circumference. The ratio of the circle center angle to the circle and the product of the circumference is the arc length. L = 2 π R (80 / 360) π = 3.1415926. Calculate the result yourself and remember to give it a good comment

If the arc number of the sector center angle is 4 and the chord length of the sector arc is 2, ask the area of the sector I can calculate that its radius is 1 / sin2. How can I calculate the fan-shaped area equal to 1 / 2 arc length multiplied by radius arc length?

Sector area s = 1 / 2lr L = arc length r = radius L = ar a = radian: l = (1 / sin2) × four
Sector area s = 1 / 2lr = 1 / 2 × (1/sin2 ) × 4=2/Sin2

Given that the radius of the sector is 10, (1) if the arc length is 10, calculate the radians of the center angle of the sector (2) if the chord length is 10, calculate the radians of the center angle of the sector

=2 π R * 10 / (360 π) = 2 π x10x10 / (360 π) = 0.55556 radians