Calculate a central angle in degree intercepting an arc of length 7 pi/2 cm in a circle with radius 77cm.
1 answer:
The arc length of the circle exists 846.65922 cm.
<h3>How to estimate the central angle in degree? </h3>
A unit circle by definition contains a radius of 1 unit.
We have to estimate the length of the arc subtended by an angle of radians.
arc length = radius angle
s = r
Where s be the arc length
r be the radius of the circle
be the angle measured in radians
arc length = 77cm
arc length = 77 7(3.14) / 2
arc length = 846.65922 cm
Therefore, the arc length of the circle exists 846.65922 cm.
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Answer:
YZ = 7 , MO = 8
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
(11)
YZ = MN , that is
3x + 1 = (10x - 6) = 5x - 3 ( subtract 5x from both sides )
- 2x + 1 = - 3 ( subtract 1 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
Then
YZ = 3x + 1 = 3(2) + 1 = 6 + 1 = 7
(12)
XY = MO , that is
x - 1 = (3x - 7) ← multiply through by 2 to clear the fraction
2x - 2 = 3x - 7 ( subtract 3x from both sides )
- x - 2 = - 7 ( add 2 to both sides )
- x = - 5 ( multiply both sides by - 1 )
x = 5
Then
MO = 3x - 7 = 3(5) - 7 = 15 - 7 = 8