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The Diagram shows a triangle inside a circle woth center O. the lengyhs of the shorter sides of the triangle are 12 cm and 16 cm. work out the area of the circle​

The Diagram shows a triangle inside a circle woth center O the lengyhs of the shorter sides of the triangle are 12 cm and 16 cm work out the area of the circle class=

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jamyangnorzin

Step-by-step explanation:

using pythagorean theorem:

c^2=a^2+b^2

16^2=a^2+12^2

16^2-12^2=a^2

256-144=a^2

[tex] \sqrt{112 = a {}^{2} } [/tex]

10.5=a.(which is the diametre of the circle)

area of cirlcle=

[tex]pir {}^{2} [/tex]

=3.14×5.25^2

area=86.3

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