173k views
3 votes
Find the area of the figure

Find the area of the figure-example-1
User Pockets
by
7.6k points

2 Answers

2 votes

Answer:

8π+110 or approximately 135.132741229

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.

User Janus Varmarken
by
7.8k points
3 votes

Answer:

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

Explanation:

User Laurent Luypaert
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories