Find the area of the figure to the nearest hundredth.

Mathematics

1 answer:

marysya [2.9K]2 years ago

5 0

Answer:

51.26 ft

Step-by-step explanation:

First find the area of the triangle:

a=1/2 base times height

a=(1/2)(6)(4)

a=12 ft

Now find the area of the circles:

a= pi times radius squared

a= pi times 2.5 squared

a=19.63 ft

19.63 + 12 = 31.63 ft

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Write an equation of a circle that is centered at (1,-4) with a radius of 10.

alexdok [17]

Answer:

$(x-1)^2 + (y+4)^2 = 100\\\\$

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Work Shown:

$(x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\$

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

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2 years ago

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Find the area, correct to the nearest square

Lady bird [3.3K]

Answer:

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Step-by-step explanation:

The path and the plot of land form two concentric circles (they have the same center). The radius of the plot of land is 100m (half of the diameter) and the radius of the larger circle, formed by putting a 2m wide path around the plot of land, is 102m. Thus, the area of the path is $\pi *102^2$ minus $\pi *100^2$ which will be $10404\pi-10000\pi$ which is $404\pi$ . Estimate $\pi$ to 3.141 and calculate, getting 1268.964... which is 1269, rounded to the nearest square meter.