Geometry Answers

The area of a rectangle is: x²-1/2

a)What must be the length of this rectangle if its width is x-1

b)For what value of x is this rectangle a square?

One side of a square of area 36 sq. cm. is coloured yellow. Find the length of the part which is

coloured yellow.

Show the complete solution An anchor chain is wound around a drum with radius 1.5 ft.If the Drum is rotated through an angle of 250° how far will the anchor be lowered?

How does finding the dimensions of the surrounding objects around me apply to my studies in Geometry?

Is maths a type of geometry

a pottery manufacturer has an order to manufacture 5000 hanging vases to hold ½ pt. of water when full. The vases are designed so as to fit into the corner of a room. The faces of each vase are triangular in shape and intersect to form a pointed bottom. The area of the polygon cut out of the plane of the base by the lateral faces is 3sq.in. The height of the vase is 8 in. Compute the weight of pottery required if pottery weighs 130lb. per cu.ft.

The angle of a sector is 30deg and the radius is 15cm.

Find the area of the sector.

10. A circle having an area of 224sq.m is inscribed in an

octagon. Find the area of the octagon.

11. A circle is circumscribed about a hexagon. Determine

the area of the hexagon if the area outside the hexagon

but inside the circle is 15sq.cm.

Given that P is a point on the circle x^2 +y^2 - 4x +2y - 4=0. Find the longest distance from P to the y-axis.

Imagine a right circular cone with altitude H and slant height R. Let the radius of

the circular base be r. Imagine that the apex angle of the cone is "\\theta" . Now slit the

cone open by cutting along the slant height from the base to the apex. Unwrap the

slit cone to reveal a circular sector. Find the central angle of this sector, "\\alpha" , as a

function of "\\theta" .