From: Andrew Lorimer <andrew@lorimer.id.au>
Date: Sun, 13 Oct 2019 08:08:08 +0000 (+1100)
Subject: [spec] tidy mensuration section
X-Git-Tag: yr12~12^2
X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/0654dbceac87c345a30bdcf63fad41d26acffe20

[spec] tidy mensuration section
---

diff --git a/spec/spec-collated.pdf b/spec/spec-collated.pdf
index 1741233..4f56f23 100644
Binary files a/spec/spec-collated.pdf and b/spec/spec-collated.pdf differ
diff --git a/spec/spec-collated.tex b/spec/spec-collated.tex
index 225cc8c..16b779f 100644
--- a/spec/spec-collated.tex
+++ b/spec/spec-collated.tex
@@ -845,21 +845,16 @@
                     \end{scope}
                   \end{tikzpicture}
 
-                  \subsubsection*{Sectors}
 
                   \begin{align*}
-                    A &= \pi r^2 \dfrac{\theta}{2\pi} \\
+                    \textbf{Sectors: } A &= \pi r^2 \dfrac{\theta}{2\pi} \\
                     &= \dfrac{r^2 \theta}{2}
                   \end{align*}
 
-                  \subsubsection*{Segments}
-
-                  \[ A = \dfrac{r^2}{2} \left( \theta = \sin \theta \right) \]
-
-                  \subsubsection*{Chords}
+                  \[ \textbf{Segments: } A = \dfrac{r^2}{2} \left( \theta = \sin \theta \right) \]
 
                   \begin{align*}
-                    \operatorname{crd} \theta &= \sqrt{(1 - \cos\theta)^2 + \sin^2 \theta} \\
+                    \textbf{Chords: } \operatorname{crd} \theta &= \sqrt{(1 - \cos\theta)^2 + \sin^2 \theta} \\
                     &= \sqrt{2 - 2\cos\theta} \\
                     &= 2 \sin \left(\dfrac{\theta}{2}\right)
                   \end{align*}