Answer:
Circumference: 12π
Area: 36π
Step-by-step explanation:
The equation for the circumference of a circle is:
C = πd
Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.
C = 12π
And now we have found the circumference of the circle.
The equation for the area of a circle is:
A = πr²
Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:
12 = 2r
r = 6
Now that we know r, we can find the area of the circle:
A = π(6)²
A = 36π
Now we have found the area.
So the circumference is 12π and the area is 36π.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
<u>Statement </u> <u>Reason</u>
AC ≅ AR Given
∠1 ≅ ∠2 Given
∠A ≅ ∠A Vertical angles
ΔCAT ≅ ΔRAD ASA postulate
∠1 ≅ ∠2 corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.
(4)=34 (3/2)=67 sorry if I am wrong.
(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
