mjharris804
Answered

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Find the area of the shade region.round to the nearest tenth

Find The Area Of The Shade Regionround To The Nearest Tenth class=

Sagot :

meisbonjour

Answer:

189.25

Step-by-step explanation:

first you find the area of the entire circle which is π times (14.5) squared so 210.25π. then you find the triangle which is 1/2 20×21= 21 then subtract 210.25π by 21= 189.25

colevv

Answer:

450.5 in²

Step-by-step explanation:

The area of the triangle

= (20×21)/2

= 210 in²

The hypotenuse of the triangle

=[tex] \sqrt{ {20}^{2} + {21}^{2} } [/tex]

=[tex] \sqrt{400 + 441} [/tex]

=[tex] \sqrt{841} [/tex]

= 29 in

The hypotenuse of the triangle (29 in)

= the diameter of the circle

The formula of area of a circle= πr²

The radius of the circle

= 29÷2

= 14.5 in

The area of the circle

= π × 14.5²

= 660.5 in² (rounded to the nearest tenth)

The area of the shaded region

= 660.5 - 210

= 450.5 in²

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