Question

Help me it it due today if you get it right I will give you the crown

Answer 1

Explanation:

You can break the entire figure into two semi-circles, two triangles, and a rectangle.

The area of a semi-circle is 1/2 the area of a full circle. The area of a circle is πr^2. The area of the semi-circle is therefore:

`\pi r^2/2=\pi (10^2)/2=50\pi`

The other semi-circle also contributes a value of 50π.

Moving on to the triangle, we must use Pythagorean's Theorem to find the value of the base:

`a^2+b^2=c^2`

`11^2+b^2=20^2`

`121+b^2=400`

`b^2=279`

`b=√(279)`

The area of a triangle is:

`Area=b*h/2`

`A=(√(279) *11)/2`

The other triangle also contributes the same area.

Finally, the rectangle. To find the length of the rectangle, we must subtract the base of the triangle from 22. The length is:

`l=22-√(279)`

The area of a rectangle is:

`Area=l*w`

`A=(22-√(279) )*(11)`

The total area of the figure is:

`Area=2*(50\pi) +2*(√(279) *11/2)+11*(22-√(279) )`

`Area=100\pi +11*√(279) +11*(22-√(279) )`

`Area=100\pi +242`

`Area=556.2`

Answer 2

556.2 unit square

Explanation:

Solution given:

Area of left semi circle= ½*πr²

where r is radiussince diameter is given 20.

so radius =diameter/2=20/2=10

substituting value

Area of left semi circle =½*π*10²=50π unit square

Since

Right semi circle's diameter is same as left semi circle

so

it's area will also be same.

Area of right semi circle= 50π unit square

Again

Area of middle rhombus= base* height

where base=22 and height is 11

substituting value

Area of middle rhombus=22*11 =242 square units

Now

Total Area=Area of left semi circle+Area of right semi circle+ Area of middle rhombus

Total Area= 50π+50π+242=556.159 unit square in nearest 10 is 556.2 unit square