100 people in a sports center are surveyed 36 regularly use the fitness suite and the swimming pool 57 use the fitness suit ans 49 use the swimming pool complete the venn diagram

Solved

Show answers

Ответ:

myhomeacc32

05.12.2021

Mathematics

The shaded area is a segment. The area of a segment is

$A_{segment}=A_{sector}-A_{triangle}$ .

You know radius that is the side of isosceles triangle and measure of angle between two equal triangle sides, then

$A_{triangle} =\dfrac{1}{2} a\cdot a \sin \alpha=\dfrac{1}{2} 18.6\cdot 18.6 \cdot \sin 123^{\circ}=172.98\cdot \sin 123^{\circ}=145.07$ sq. m..

The area of sector is $A_{sector}=\dfrac{r^2\cdot \alpha}{2}= \dfrac{(18.6)^2\cdot 0.68\pi}{2}=117.63\pi=369.53$ sq. m..

Then $A_{segment}=369.53-145.07=224.46$ sq. m.

$A_{segment}=224.46$ sq. m.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice