How do you calculate the length of an arc and the area of a sector?

[ad_1] For any ##theta## the length of the arc is given by the formula (if you work in radians which you should: The area of the sector is given by the formula ##(theta r^2)/2## Why is this? If you remember the formula for the perimeter of a circle is ##2pir##. In radians a full circle […]

What is the surface area of this triangular prism?

[ad_1] The surface area of this prism is ##36 in^2##. Even though the explanation might seem slightly long it is really easily broken down into pieces so I highly recommend you read and learn from it. In extremely simple terms imagine you have a woodblock shaped like the triangular prism in picture you attached. The […]

Are two congruent polygons always similar?

[ad_1] Congruent shapes are always similar The word ‘congruent’ means identical in all aspects.. It is the geometry equivalent of ‘equal’. Congruent figures have the same size the same angles the same sides and the same shape. They are IDENTICAL! As a transformation we could say that the image maps onto the figure exactly. The […]

What does tan 2pi equal?

[ad_1] ##tan(2pi) =0## In terms trigonometric functions ##2pi## is equivalent to ##0##. Based on the unit circle an angle of ##0## has its terminal point on the positive X-axis ; the side opposite the angle has a length of ##0## (and the adjacent side has a length of ##1##) ##tan = (opposite)/(adjacent)## ##tan(2p) = tan(0) […]