Wednesday

April 16, 2014

April 16, 2014

Posted by **Cathy** on Saturday, December 1, 2012 at 7:07am.

Please include solution. Thanks.

- solid mensuration -
**Reiny**, Saturday, December 1, 2012 at 9:38ammake a sketch, putting the complete figure on the x-y grid

draw a line from the centre of the semicircle to the vertex of the square , calling that point P(x,y)

so the base of the square is 2x and its height is y

so clearly

y = 2x

also x^2 + y^2 = 15^2

x^2 + (2x)^2 = 225

5x^2 = 225

x^2 = 45

x = 3√5

y = 6√5

area of square = 2xy

= 2(3√5)(6√5) = 180

area of semicircle = (1/2)π(15)^2 = 225π/2

area between square and semicircle

= 225π/2 - 180 or appr 173.43

check my arithmetic

**Related Questions**

math (solid mensuration) - A light is placed 5 ft. from the center of a globe 3 ...

solid mensuration - find the area of a regular pentagram if one of the sides of ...

solid mensuration - The base of a right prism is a rhombus whose sides are 20cm ...

solid mensuration - circle c has radius of 10 cm. each of the points B and D is ...

solid mensuration - Find the area of a segment of a circle whose diameter is 16 ...

Solid Mensuration - A spherical wooden ball 1 ft in diameter is used as a float ...

solid mensuration - what is the area of a parabola inscribed in a rectangle 30cm...

Solid mensuration - The bases of a triangular right prism are apart. find the ...

solid mensuration - the perimeter of an ellipse with an area equal to 12pi ...

solid mensuration - A circle has an area equal to 25 pi sq.cm. Its diameter AB ...