Pi, is an irrational number (it cannot be written as a fraction) For this reason, 3 times pi is also irrational.
No, for example if A = Pi/3. Then sin3A = sin pi = 0, but sinA = sin Pi/3 = 1/2. So for A = Pi/3, the sum is 1/2, not zero. It can't be proved because the statement is false. For example if A = Pi/3. Then sin3A = sin pi = 0, but sinA = sin Pi/3 = 1/2. So for A = Pi/3, the sum is 1/2, not zero.
12
I'm assuming you are asking about a cylinder. The volume of a cylinder is the area of the base times the height. The base is a circle so its area is pi*r^2. We get V=height*pi*radius*radius = 8*pi*3*3 = 72*pi which is about 226.195
The area of the circle becomes 9 times the area of the original circle. Original circle = Pi * (r ^ 2) = Pi * r * r New Circle = Pi * ((3 * r) ^ 2) = Pi * 9 * r * r
It is 2*pi/3.
The area of a circle is pi times radius times radius. 6 cm = 2 times 3 cm radius = 3 cm. SO, pi times 3 cm times 3 cm 9 pi pi is approximately 3.141592... 9 times 3.141592... is 28.274328...
The circumference C is pi times the diameter of the circle, which is twice the radiusC= pi *2rThe area A is pi times the radius squaredA = pi r2where pi = about 3.14159Example:For a radius of a 3 cmC = pi x (3 x 2) = pi x 6 = about 18.85 cmA = pi x (3)2 = pi x 9 = about 28.275 cm2
The formula for volume is 1/3 Bh ( 1/3 pi times radius squared times the height.) The formula for surface area is 2 pi r h plus 2 pi r squared.
9
Volume of a Sphere. Volume= (4/3)(pi)r^3 Multiple 4/3 times pi times the radius to the third power. The surface area of a Sphere is 4(pi)r^2
Circumference is equal to 2 times pi times the radius. The radius is half the diameter, so pi times the diameter is also the circumference. In this case, the diameter is 3 meters so 3 times pi equals 9.42 So the circumference is about 9.42 meters.
The circumference is radius times two times pi. C=2*pi*r C=2*3*3.141592... C=6*pi C=18.849552 All numbers when multiplied are approximate because pi is an irrational
[pi^(1/3)]^2 * pi = pi^(2/3) * pi = pi^(5/3) The answer is the cubic root of pi to the fifth power.
circumference= pi(3.14) by the diameter. if your given the radius, double the radius and times by pi.
18pi m^3 ~ 56.5486678 m^3 sphere: (4/3)pi(r^3) hemisphere: ((4/3)pi(r^3))/2=(4/6)pi(r^2)=(2/3)pi(r^3) d=6 r=3 (2/3)pi(3^3)=(2/3)pi(27)=(54/3)pi=18pi
11pi/12 = pi - pi/12 cos(11pi/12) = cos(pi - pi/12) cos(a-b) = cos(a)cos(b)+sin(a)sin(b) cos(pi -pi/12) = cos(pi)cos(pi/12) + sin(pi)sin(pi/12) sin(pi)=0 cos(pi)=-1 Therefore, cos(pi -pi/12) = -cos(pi/12) pi/12=pi/3 -pi/4 cos(pi/12) = cos(pi/3 - pi/4) = cos(pi/3)cos(pi/4)+sin(pi/3) sin(pi/4) cos(pi/3)=1/2 sin(pi/3)=sqrt(3)/2 cos(pi/4)= sqrt(2)/2 sin(pi/4) = sqrt(2)/2 cos(pi/3)cos(pi/4)+sin(pi/3) sin(pi/4) = (1/2)(sqrt(2)/2 ) + (sqrt(3)/2)( sqrt(2)/2) = sqrt(2)/4 + sqrt(6) /4 = [sqrt(2)+sqrt(6)] /4 Therefore, cos(pi/12) = (sqrt(2)+sqrt(6))/4 -cos(pi/12) = -(sqrt(2)+sqrt(6))/4 cos(11pi/12) = -(sqrt(2)+sqrt(6))/4