Answer:
(B) 9π in²
Step-by-step explanation:
I’m going to assume that by 6 inches you meant 6π inches.
If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is 
).
So the radius is 3.
Now that we know the radius, we can find the area by using the equation 
.
Hope this helped!
Answer:25,000 in 2 years at annual compound interest, if the rates for the successive years be 4% and 5% per annum respectively is: (1) Rs. 30,000 (2) Rs. 26,800 fa) Rs.
A=P[1+
100
r
]
n
⇒ A=Rs.25,000×(
100
106
)
3
⇒ 25,000×
50
53
×
50
53
×
50
53
⇒ A=Rs.29,775.40
⇒ CI=A−P
⇒ Rs.29,775.40−Rs.25,000
∴ CompoundInterest=Rs.4775.40.
First, we determine that the given equation in this item
is a linear equation. Thus, it should be a straight line. With this, we are
left with the third and fourth choice. Then, we substitute the given data
points to the equation and see if the points satisfy the given.
Choice 3:
<span> (1,3) :
(-5)(1) + (2)(3) = 1 TRUE</span>
<span> (3,8) :
(-5)(3) + 2(8) = 1 TRUE</span>
<span> (-3,-7)
: (-5)(-3) + (2)(-7) = 1 TRUE</span>
Choice 4:
<span> (4,-3) :
(-5)(4) + (2)(-3) ≠ 1 FALSE</span>
<span> (-1,2) : (-5)(-1) + (2)(2) ≠ 1 FALSE</span>
<span> (-4,5) : (-5)(-4) + (2)(5) ≠ 1 FALSE</span>
<span>Thus, the answer is the third choice.</span>
Answer:
Step-by-step explanation:
The equation for a circle is 
, where 
is the vertex of the circle and 
is the radius. Immediately, since the center of the circle is given, we know what 
and 
are. is 230 and is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that 
, where 
is the change in the x-coordinates of the two points and 
is the change in the y-coordinates of the two points. Plug-in for 60 and for 50 to get 
. Solve for 
, arriving at 
. Therefore, the radius of the circle is .
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for , 220 for , and for .
The equation of the circle will be .
Hope this helps :)
