Answer:
Radius = 8 units
Length of arc AB = 8.37758 units
Step-by-step explanation:
The sector COD is 1/4 the size of the circle.
the vertex angle is 90° and a circle has 360° at the center.
So the area of sector COD/area of Circle = 90/360 = 1/4
This means the area of the circle is 4 * 50.24 = 200.96 square units
Area of circle = πr² where r is the radius
πr² = 200.96
r² = 200.96/ π = 63.9676 ≅ 64
Therefore r = √64 = 8 units
The circumference of the circle is 2πr = 16π units
arc AB has a vertex angle of 30°.
30°/360° = 1/6
So the length of the arc is 1/6th the circumference of the circle =
(1/6) * 16π = 2.67π units or 8.37758 units
Answer:
m=30°
n=35°
Step-by-step explanation:
So the right triangle's angles are 90 and 70 so m=30° because sum of angles in a triangle=180°
since the triangle with 110 degrees is congruent, that means the other blank angle is also N.
so if the sum of angles in a triangle is 180 degrees,
110+2n=180
2n=180-110
2n=70
n=35
Answer:
I think its D .
Step-by-step explanation:
hope this helps you
Applying the definition of the diagonals of a rhombus, the value of m is -3, and the value of c is 26.
<h3>What are the Diagonals of a Rhombus?</h3>
The diagonals of a rhombus are perpendicular to each other and therefore have slopes that are negative reciprocals.
Equation of diagonal DB is, y = 1/3x + 5.
Slope (m) of DB is 1/3.
Therefore, the slope (m) of diagonal AC would be, -3.
To find the equation of diagonal AC, substitute m = -3 and (5, 11) = (a, b) into y - b = m(x - a)
y - 11 = -3(x - 5)
y - 11 = -3x + 15
y = -3x + 15 + 11
y = -3x + 26
m = -3; c = 26
Learn more about diagonals of a rhombus on:
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No, it is one hundred times greater than the first 4.
