Circle arc

Circle segment has a circumference of 135.26 dm and 2096.58 dm2 area. Calculate the radius of the circle and size of central angle.

Result

r =  31.001 dm
f =  250 °

Solution:

a r=135.26 r2 a/2=2096.58   r2 (135.26/r)/2=2096.58  135.26r=4193.16  r=31.000739  a=135.26/r=135.26/31.00074.3631 rad  r=31.000731.0007=31.001  dm a \cdot \ r = 135.26 \ \\ r^2 \cdot \ a/2 = 2096.58 \ \\ \ \\ \ \\ r^2 \cdot \ (135.26/r) / 2 = 2096.58 \ \\ \ \\ 135.26r = 4193.16 \ \\ \ \\ r = 31.000739 \ \\ \ \\ a = 135.26/r = 135.26/31.0007 \doteq 4.3631 \ rad \ \\ \ \\ r = 31.0007 \doteq 31.0007 = 31.001 \ \text { dm }
f=a =a 180π  =249.988461815  =250=2495918"f = a \rightarrow \ ^\circ = a \cdot \ \dfrac{ 180 }{ \pi } \ \ ^\circ = 249.988461815 \ \ ^\circ = 250 ^\circ = 249^\circ 59'18"







Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Do you have a system of equations and looking for calculator system of linear equations? Do you want to convert length units?

Next similar math problems:

  1. Find the 5
    distance-between-point-line Find the equation with center at (1,20) which touches the line 8x+5y-19=0
  2. Right triangle from axes
    axes2 A line segment has its ends on the coordinate axes and forms with them a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment?
  3. Three points 2
    vectors_sum0 The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB and DC is parallel to AB. Calculate the coordinates of D.
  4. Slope
    lines.JPG Calculate the slope of a line that intersects points (-84,41) and (-76,-32).
  5. Perpendicular
    slopeplane What is the slope of the perpendicular bisector of line segment AB if A[9,9] and B[9,-2]?
  6. Line
    negative_slope Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers.
  7. Center
    center_triangle In the triangle ABC is point D[1,-2,6], which is the center of the |BC| and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
  8. Cone
    cones_1 If the segment of the line y = -3x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed. What is the volume of the cone?
  9. Right angled triangle 2
    vertex_triangle_right LMN is a right angled triangle with vertices at L(1,3), M(3,5) and N(6,n). Given angle LMN is 90° find n
  10. Slope form
    lines_2 Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a, b are the constants.
  11. Triangle
    sedlo Triangle KLM is given by plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3]. Calculate its area and itsinterior angles.
  12. Find the 10
    lines Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular, parallel, what angle does each of the lines make with the x-axis, find the angle between the lines?
  13. Angle between vectors
    arccos Find the angle between the given vectors to the nearest tenth of a degree. u = (-22, 11) and v = (16, 20)
  14. Line
    img2 Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
  15. Cuboids
    3dvectors Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633)
  16. Two people
    crossing Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walking at the rate of 4 kph in one road, Jenelyn walking at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apar
  17. Points collinear
    collinear Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.