Mathematics: A 3cm x 3 cm rectangle sits inside a circle with radius of 4 cm. What is the area of the shaded region?

Step-by-step explanation:In circle with center O, By inscribed angle theorem:...

A 3cm x 3 cm rectangle sits inside a circle with

Ответ:

duttonsteven45

24.01.2022

Mathematics

THE CORRECT ANSWER IS 41.27 cm^2

Step-by-step explanation:

3 cm x 3cm = 9 cm^2

16 pi cm^2 - 9 cm^2 = 41.27 cm^2

I know this is the correct answer because it was correct on khan academy!

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Ответ:

jojokeys

29.11.2021

Mathematics

$(180 - 2x)\degree$

Step-by-step explanation:

In circle with center O, $m\angle BCD = x\degree ... (given) \\$

By inscribed angle theorem:

$m\angle BCD= \frac{1}{2} \times m\widehat {BD} \\\therefore x\degree = \frac{1}{2} \times m\widehat {BD} \\\therefore \widehat {BD} = 2x\degree \\\because m\widehat {BCD}+m\widehat {BD}= 360\degree \\(By\: arc\: sum\: postulate\: of\: a \: circle) \\\therefore m\widehat {BCD}+2x\degree = 360\degree \\\therefore m\widehat {BCD} = 360\degree - 2x\degree \\\\\because m\angle BAD = \frac{1}{2}(m\widehat {BCD} - m\widehat {BD}) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 2x\degree - 2x\degree) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 4x\degree ) \\\\\therefore m\angle BAD = \frac{1}{2}\times 2(180\degree - 2x\degree \\\\ \red {\boxed {\bold {\therefore m\angle BAD =(180- 2x)\degree}}} \\\\$

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A 3cm x 3 cm rectangle sits inside a circle
with radius of 4 cm.
What is the area of the shaded region?

Ответ:

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