Answer:
Whats the question
Step-by-step explanation:
Answer:
Among the five statements,statement 1 and 4 are true for the circle shown.
Step-by-step explanation:
Given:
An image is attached here.
A circle with radius = 15.4 m
We ave to find the diameter,circumference and relationship between the two.
Formula to be used:
⇒ Diameter of a circle = 2r
⇒ Circumference = 2πr
Lets find the values.
- Diameter =
m - Circumference =
m - Relationship =
We can say that a little more than 3 diameters could be wrapped around the circle.
From the drop down our choices are.
- The diameter of the circle is 30.8 m.
- The approximate circumference of the circle
,rounded to the nearest tenth is 96.7 m.
Option 1 and 4 are the right choices.
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04
0.005
Multiplying by ten moves the decimal point over one.
Assuming R and H:
So volume is pir^2 * H = 1500 and H = 1500/(pir^2) while surface area is A= 2pir*H + 2pir^2
A = 2pir(r+h)= 2piR^2 + 2pir*1500/(pir^2)= 2piR^2 + 3000/r
For A to take minimum, get the derivative 4pir - 3000/R^2 and let it be 0
4pir^3 - 3000 = 0
r = cbrt(3000/(4pi)) ≈ 6.20
h = 1500/(pi(6.20)^2) ≈ 12.42