Circumference Problem #1

Posted on February 21, 2015

3

pu

Two congruent rectangles are shown.

The area of the rectangle is 1260cm2

The perimeter of the rectangle is 146cm

Find the circumference of the circle.

Posted in Solve My Maths | Tagged math, maths | 3 Replies

Area Problem #16

Posted on February 16, 2015

2

dec2

A regular pentagon and a square both share a side with a regular decagon. The green shape is made from the vertices of the square and pentagon. If the side length of the decagon is 2cm, what is the area of the green shape?

Posted in Solve My Maths | Tagged math, maths | 2 Replies

Tangent Problem #1

Posted on February 11, 2015

1

monges theorem puzzle β = 36.87o AD = 3cm γ = 28.07o BE = 2cm θ = 22.62o CF = 1cm All straight lines are tangent to 2 circles, except DG, which is tangent to all 3 circles. Find the length DF. *this puzzle was inspired by Monge’s Circle Theorem. Special thanks to John Golden who helped create a geometrically correct construction.

Posted in Solve My Maths | Tagged math, maths | 1 Reply

Area Problem #15

Posted on January 31, 2015

11

arc

A square is inscribed in a white circle as shown. Semi-circles are then drawn onto each side of the square.

If the white arc AB = 5cm, find the total area of the orange shapes.

Posted in Solve My Maths | Tagged math, maths | 11 Replies

Proof Problem #3

Posted on January 21, 2015

1

proof

Prove that the area of the red triangle is 1/10 the area of the black square.

Posted in Solve My Maths | Tagged math, maths | 1 Reply

Proof Problem #2

Posted on January 19, 2015

1

proof2

The orange square is constructed using lines from midpoints to opposite vertices.

Prove that the orange square is 1/5 the area of the blue square.

Posted in Solve My Maths | Tagged math, maths | 1 Reply

Angle Problem #2

Posted on January 16, 2015

3

ang2

Find the angles.

Posted in Solve My Maths | Tagged math, maths | 3 Replies