Expert Help with High School Geometry

For the region R below, write ${\displaystyle \int {\int }_{Z}fdA}$ as an integral in polar coordinates.

Use t for ${\displaystyle \theta }$ in your expressions.

Find the probability of landing in the shaded region of the figure.
Rectangle with 2 inscribed circles. Length of the rectangle is 20m and the width is 10m

For the two circles in Figures (a), (b), and (c), find the total number of common tangents (internal and external).
a)
b)
c)

A figure is made up of a triangle and a square, where the triangle's base $b_{\mathrm{△}}$ is a side of a square $l_{◻}$.
$h_{\mathrm{△}}$
$l_{\mathrm{△}}=s_{\mathrm{△}}$
$P_{figure}=56cm$
$A_{figure}=?$

A Geometric Model: The ancient Greeks often discovered mathematical relationships by using geometric drawings. Study the accompanying drawing and use inductive reasoning to determine what needs to be put in place of the question mark the equation a true statement.

The diagram shows a running track. It is made up of a rectangle and two semi circles. A student ran around the track 7 times. What is the total distance in m, he ran? Use ${\displaystyle \pi =\frac{22}{7}}$