Homepage

Course Index

Build a Quiz

Subscriptions

Area of Composite Shapes

Quiz Details

Topics covered

  • Q 1 Past HSC Questions- By Topic - Area of Composite Shapes

  • Q 2 Past HSC Questions- By Topic - Area of Composite Shapes

Question 1
HSC 2016 - Question 30c (External Link) Show Question
Answer

\(6971{m^2}\)

Worked Solution

\begin{aligned}\text { Area of major sector }&=\frac{260}{360} \times \pi \times 45^{2} \\&=4594.6 \\\text { Area of } \Delta&=\frac{1}{2} \times 45^{2} \times \sin 100^{\circ} \\&=997.1 \\\text { Let } A B&=x \\x^{2}&=45^{2}+45^{2}-2 \times 45 \times 45 \times \cos 100^{\circ} \\&=4753\\x=& 68.9 \\\text { Area of rectangle } &=20 \times 68.9 \\&=1378.9 \\\text { Total area } &=4594.6+997.1+1378.9 \\&=6971 \mathrm{\,m}^{2} \quad\left(\text { nearest } \mathrm{\,m}^{2}\right)\end{aligned}

 
Question 2
HSC 2015 - Question 28a (External Link) Show Question
Answer
You must be logged in to see the answer. or
Worked Solution
You must have an active subscription to access course content

Create account

I am..

Please enter your details

I agree with your terms of service