Answer:
D: 8,100π in²
Step-by-step explanation:
The formula for area of a circle is
A = πr²
The radius is squared, so if the radius or a new circle is 6 times larger (multiplied by 6), the difference in area will be 36 times greater. So the area is
225π(36) = 8,100π
Answer:
Average velocity is 32 miles/hr.
Step-by-step explanation:
Given that a particle moves on a line away from its initial position so that after t hours it is
miles from its initial position.
We have to find the average velocity of the particle over the interval [1, 4].
As, average velocity is the change is position over the change in time.


∴ 
=
Hence, average velocity is 32 miles/hr.
Answer is B
Each number under the leaf side is the other half of the stem.
Therefore,
1 | 7 =1.7
1 | 3 =1.3
3 | 7 =3.7
So on and so forth.
<u>Given:</u>
The circle has a diameter of 30 cm and a chord of 10 cm is drawn.
Radius of the circle = 15 cm
Half of the chord = 5 cm
We need to determine the distance of chord from the center of the circle.
<u>Distance of chord from the center of the circle:</u>
Let us use the Pythagorean theorem, to find the distance between the center and the chord.
Let d denote the distance between the center and the chord of the circle.
Thus, we get;



Taking square root on both sides, we get;

Thus, the distance between the center and the chord of the circle is 14.14 cm.
Hence, Option A is the correct answer.