Determine the area of the shaded region, given that the radius of the circle is 1 unit?
imagine 9 pie sections. each is an isosceles triangle. the legs are 1 unit. solve for the area x 9 done!
Area of shaded region in terms of pi?
The big circle's area is r²π , where r = 3+3 = 6 A (big circle) = 6²π = 36π cm² The smalls circles' area is r²π where r = 3 A(small circle) = 3²π = 9π cm² A(shaded region) = A(big circle)-2A(small circle)= =36π-2*9π = 36π-18π = 18 π cm²
How do I find area shaded region?
Angle B + Angle C + Angle A = 180 ( angle sum property)B = 90 degreesTherefore Angle A + Angle C = 90The circle around angle b is 1/4 of a whole circle ( as B = 90)= 1/4* π* r^2= π/4*49The other unshaded parts together form 1/4 of a circle ( Angle A + angle C = 90)= 1/4* π* r^2= π/4*49Unshaded area = 2* π/4*49= 77 cm^2Total area = 1/2bh= 1/2*24*14= 168 cm^2Shaded = Total - unshaded= 91 cm^2
How do I find the area of the shaded section?
For the first one, find the area of the sector. That is easy: (45/360)×πr^2 . Now, you have to find the side opposite the central angle. To do this, use the law of sines. We know that the central angle is 45 degrees,so we do 180–45–135. We know that the triangle is isosceles since both of its known sides are the same. To get the measure of each of the other two angles,divide 135 by two,giving 67.5. You now know two sides and all of the triangle’s angles, so plug the relevant numbers into the equation for the Law of Sines and solve for the unknown side.Once you know the side, which I will designate as Y from now on, draw the height of the triangle. This should result in the triangle getting cut in half, with one half having a leg H, which is your height, leg Y/2, and hypotenuse 6cm. From here on, use the Pythagorean Theorem to find the height of the triangle and then the area. ((45/360)×πr^2)-X, where X is the area of the triangle.It has been some time since I have done these, so it would be preferable if others can verify what I wrote before you take my word for it.
What is the area of the shaded region?
since the circle inscribed ina square circle is inside the square. The side of the square is the diameter of the circle. As you found radius =12 diameter =24 area of square=24x24=576 the shaded region (ie 4corners near the circle ) has area=576-144pi
How do you calculate the area of a shaded region of a circle?
To solve the area of a shaded region of a circle, if the shaded region is like a slice of pie (from the center out), then you need to know the angle from the center of the shaded region, call the angle n˚. If we have that n˚ angle, we are working with n˚ of the 360˚ in the circle, or n˚/360˚, which simplifies to n/360 (the ˚ symbols cancel out). We then would need to find the area of the circle (πr^2) and multiply it with the fraction of the circle we are working with (n/360), so your equation for a slice of the circle would be nπr^2/360 where n is in degrees. Now, if you just want the “crust” of the pie (so, the area between to points on the arc defined by the slice), then we can find the area of the triangle defined by the origin and the 2 points on the circle. 2 of the side lengths of the triangle are the radius, and we know the measure of the angle of the slice, so we can use the law of cosines (C^2=A^2+B^2–2ABcos(c)) to figure out the base, then use the equationArea=(s-r)sqrt(s(s-C)) where s is half the perimeter of the defined triangle (this is what we get when we plug in r for 2 of the side lengths. If you are not familiar with the method of finding the area of a triangle, I would recommend searching Heron’s formula. The proof is interesting). Finally, we subtract this area from the area of the already found full slice and you have it!
Need help finding the area of a shaded region please!?
http://img208.imageshack.us/img208/4028/picture1owe.png What is the fastest way to find the area of this region. I would prefer the answer simplified using radicals, integers, fractions, etc..and in terms of pi. Thank you very much for your help here! :)
How do I find the area of a sector in a circle and leave it in terms of Pi?
Area of a circle is:(Pi)r^2Area of a circle’s sector with an arc of X degrees is:(Pi)r^2 * X/360So… if sector with an arc of 40 degrees and radius of 3 needs an avenger to swoop in and calculate its area… you know what to do.(Pi)3^2 * 40/360 = (Pi)Eat that (Pi)