Given:
Area of a sector = 64 m²
The central angle is 
.
To find:
The radius or the value of r.
Solution:
Area of a sector is:
Where, r is the radius of the circle and 
is the central angle of the sector in radian.
Putting 
, we get
Taking square root on both sides, we get
Therefore, the value of r is 
m.
Answer:
Four thousand six hundred sixty nine and three thousand four hundred fifty five ten thousandths
Answer:
x = 18
Step-by-step explanation:
Given
3 + 
= 
Multiply through by the LCM of 2 and 3 to clear the fractions.
The LCM of 2 and 3 is 6, thus
18 + 2x = 3x ( subtract 2x from both sides )
18 = x
The distance between point C and point D is 10.
Point D is on the 1 and Point C is on -9.
1-(-9)=10.
Answer: 1. False. [∠XFG is lying between the one side and the line extended to the next side of the triangle, therefore it is an exterior angle.]
2.True. [∠EFG is lying between the two sides of the ΔEFG, therefore it is an interior angle of the triangle]
3.True. [∠FEZ is lying between the one side and the line extended to the other side of ΔEFG ]
4.False. [∠YGE is a straight line it is between the one side and the line extended to the same side ∴ it cannot be an exterior angle of the triangle ]
5. True.[∠EGF and FGY together make a straight line therefore they are supplementary angles]
6.False.[∠FEG and ∠FGE are both the interior angles of a triangle and we know that for supplementary angles they should lie on the same line or together make a straight line]
