Answer:
circle: 6490.9 cm², quadrant: 1622.7 cm²
Step-by-step explanation:
The circumference of the entire circle is known as 2πr and it is 4 times the given value, since a circle has 4 quadrants:
2πr = 4·71.4 = 285.6, so r = 285.6 / 2π ≈ 45.45
The area of a circle is πr², filling in the value for r we just found:
πr² = π 45.45² ≈ 6490.9 cm²
So the area of a quadrant is one fourth of that:
6490.9/4 = 1622.7 cm²
The question about "its area" can denote the entire circle, or just the quadrant, so two answers are provided.
Answer:
(C)19
Step-by-step explanation:
The diagram is drawn and attached.
Using the intersecting chord theorem
SL X LT = JL X LK
x X 12 = 14(x-1)
12x=14x-14
12x-14x=-14
-2x=-14
x=7
Therefore:
ST= SL + LT
=x+12
=7+12
ST=19
The correct option is C
Answer:
957.85
Step-by-step explanation:
949.65
+ 8.2
_________
957.85
Differentiate both sides with respect to
:
When
, you have
For part (b), we now assume that
and
are functions of an independent variable, which we'll call
(for time). Now differentiating both sides with respect to
, we have
where the chain rule is used on the right side. We're told that
is decreasing at a constant rate of 0.1 units/second, which translates to
. So when
, you have
where the unit is again units/second.
