Will give brainliest
Find the area of the shaded region.
800
5 cm
A = [?] cm2
Enter a decimal rounded to the nearest tenth.
![Will Give Brainliest Find The Area Of The Shaded Region.8005 CmA = [?] Cm2Enter A Decimal Rounded To](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/cC0KgTAQAzu5a5yEFm4rKTLKNAmbLasp.png)
Answers
The area of the shaded region is 73.4 cm².
What is Area ?
An object's area is the space that its boundary encloses. A closed figure's area is determined by how many unit squares are present on its surface.
Given : Radius of circle = 5 cm
The area of circle = πr²
= 25π = 78.57 cm²
Now, the area of segment can be found by using the formula :
= 1/2 × r² × [ πФ/180 - sinФ]
So, area of segment = 1/2 × 25 × [ π×80/180 - Sin 80 ]
= 25/2 × [4π/9 - 0.9848 ]
= 25/2 × [1.3968 - 0.9848]
= 5.15 cm² approx.
So, Th area of shaded region = area of circle - area of segment
= 78.57 - 5.15
= 73.4 cm²
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