Answer:
The circumference of the circle is
.
Step-by-step explanation:
A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.
The area of a circle is given by 
The formula used to calculate the area of a sector of a circle is:

The circumference of a circle is the distance around the outside of the circle and its given by

We know the central angle
= 110º and the area of the sector 50 units squared.
First, we use the formula to calculate the area of a sector to find the radius.

The radius can't be negative. Therefore,

Next, we apply the formula for the circumference of a circle.

Answer:
Step-by-step explanation:
To find the additive inverse of polynomial expression, flip the sign of each term.
6x² ----> -6x²
-x -----> +x
-2 -----> +2
Additive inverse:
-6x² + x + 2
Answer:

Step-by-step explanation:
The equation of a periodic function is in the form:
y = Asin(Bx + C) + D
Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.
Given that:
amplitude: 4, period 4 phase shift = vertical shift = -2
Hence:
A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.
Phase shift = -C / B
C = -phase shift * B = - * -2 * π / 2 = π.
Therefore substituting gives:

50-35.65
=15.35 Rs is the amount the boy got from the shopkeeper