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3 years ago

Find the area of the figure

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

Answer:

8π+110 or approximately 135.132741229

Step-by-step explanation:

To find the area of this shape we must make it two different shapes. Those shapes being a trapezoid and a semi circle. We will then use the measurements given to find the area of the trapezoid first. AS we all know to find the area of a trapezoid we must plug the values into the equation: A= (b1 +b2)/2 *h. b1 is base one which can be either the shorter side or the longer side it doesn't matter. b2 is base two which is the other side. h is the height which is 10. Finally A is the area of the trapezoid. So when we plug in all the numbers we get the expression: A =(8+14)/2 * 10. This simplifies to 22/2 *10 which simplifies further to 11*10. This then equals 110. Now we will find the value of the semi-circle. To find the area of the semi-circle we must use the measurements given to find the area of a circle then divide the whole value by 2 since the semi-circle is half a circle. The area of a circle is A=πr^2 but since this is a semi-circle, we will multiply the equation by 1/2 making the equation A = 1/2 (πr^2). To find r which is the radius we must use the measurement given. Though the measurement given is actually the diameter of the semi-circle, but the diameter is 2 times the radius. Using that information we can find the radius. d=2r. 8=2r. Divide both sides by 2 and you get the radius. r= 4. Now that we have the radius we plug it into the equation. A=1/2(π4^2) this then simplifies to A = 1/2(16π) which further simplifies to 8π. Now we will add both values we got from the trapezoid and the semi-circle to find the area of the whole shape. A = 110 + 8π. Now you can leave the equation like this or you can multiply 8 by π and then add 110 to find the area. This will give you approximately 135.132741229.

Sergio [31]3 years ago

4 0

Answer:

I'm not sure about the semi circle part but the trapizoid is 110 area

Step-by-step explanation:

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