If the length of an arc is 1 / 4 of the circumference of the circle, the angle of the center of the arc is ()

If the length of an arc is 1 / 4 of the circumference of the circle, the angle of the center of the arc is ()

360 * (1 / 4) = 90 degrees

There is an arc which is 1 / 6 of the circumference of the circle where he is located. How many degrees is the center angle of the arc? The formula and the answer

One sixth of the circumference of the circle where he is located indicates that the degree of the central angle to which the arc is directed is one sixth of the circumference (360 degrees)
360 * 1 / 6 = 60 degrees

The center angle of a circle is 90 degrees, accounting for 90 / 360 of the whole circumference, so the arc length it is facing is the circumference of the circle

1/4

The center angle of a circle is 180 degrees, accounting for 180 / 360 of the whole circumference, so the arc length it is facing is the circumference of the circle

The center angle of the circle is 180 degrees, accounting for 180/360 of the whole circumference, so the arc length it is facing is the circumference of the circle (1/2)

If the center angle of the circle is 30 degrees, then the arc length of the circle is ()

30/360=1/12

For a circle, after cutting off the fan with the same radius whose center angle is 70 degrees, the remaining area is 56 square decimeters. What is the area cut off?

56 divided by [(360-70) divided by 360] multiplied by (70 divided by 360)
=56 divided by [290 divided by 360] times 70 times 360
=56 divided by 290 in 360 times 70 in 360
=29:2016 times 360:70
=392 of 29 (square decimeter)
Answer: the area that cuts off is 29th 392 square decimeter

What is the radius of the sector with arc length of 6.28 and area of 12.56, and the central angle of the circle (2). The two radii of the circle divide the circle into two sectors, their areas When the ratio is 7:2, what is the center angle of the larger sector To calculate!

Solution 1 / 2 arc length * radius = sector area
That is 1 / 2 * 6.28 * radius = 12.56
I.e. radius = 4
The two radii of the circle divide the circle into two sectors, and their area ratio is 7:2,
Then the ratio of center angle is 7:2
Let the center angle of the big circle be 7x and the small one 2x
Then 7x + 2x = 360 degrees
x=40°
That is, the center angle of the big circle is 280 degrees

If the arc length of the sector is 16 cm and the area is 56 cm 2, then its central angle is

Arc length: l = n * pi * r / 180 (1) Area: S = n * pi * r * r / 360 (2) From formula (1), r = 180 * L / (n * PI) (3) By substituting formula (3) into equation (2), s = n * pi * (180 * L / (n * PI)) ^ 2 / 360, the result is: n = 90 * L ^ 2 / (s * PI) (...

The area of the sector is 3.14, the circumference of the circle is 12.56, and what is the central angle of the sector Formula

Ninety

The area of the fan is 3.14 square centimeter, and the circumference of the circle is 12.56 cm

Radius of circle = 12.56 △ 3.14 △ 2 = 2 (CM)
Area of circle = 3.14 × 2? = 12.56 (square centimeter)
Center angle = 3.14 △ 12.56 × 360? = 1 / 4 × 360? = 90