Answer:
50.28 sq. cm.
Step-by-step explanation:
A and B are centers of two circles of radii 8 cm and 1 cm such that AB =13 cm.
Now, angle ACB =90 degree where C is the center of another circle which touches the above two circles.
Now, ABC forms a right triangle where AB = 13 cm, AC = (r + 8) cm and BC = (1 + r) cm.
{Where r is the radius of the circle C.
Applying Pythagoras Theorem. AB² = AC² + BC²
⇒ 13² = (r + 8)² + (r + 1)²
⇒ 169 = r² + 16r + 64 + f² + 2r + 1
⇒ 2r² + 18r - 104 = 0
⇒ r² + 9r - 52 = 0
⇒ (r + 13)(r - 4) = 0
Hence, r = 4 {As the value of r can not be negative}
Therefore, the area of the circle C is π(4)² = 50.28 sq. cm. (Answer)
A common misconception in statistics is confusing correlation with causation. If two events are correlated, it merely means that they share the same behaviour over time, but it doesn't imply in any way that those event are related by a common cause, or even worse, that one implies the other.
You can find several (even humorous) counter examples online. For example, if you plot the number of reported pirates assault against the global temperature in the last years, you'll se that temperature is rising (unfortunately...) while pirates are almost disappearing.
One could observe this strong negative correlation and claim that hotter climate has solved the pirate issue. Of course this is a joke, but it explains why you shouldn't confuse correlation with causation.
Answer:
C. In one of the spiral arms, about halfway between the center and the edge.
Step-by-step explanation:
Because our solar system is the the Orion Arm of the Milky Way (which is located between the center and the edge of the galaxy).
