a circle pizza with a diameter of 10 inches. The pizza is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?Use π = 3.14 and round your answer to the nearest hundredth.

117.45 in^2

Step-by-step explanation:

Given data

Diameter of pizza= 10in

Radius of pizza=10/2=  5in

Lenght of pizza box= 14in

Area of pizza= πr^2

A= 3.142*5^2

A= 3.142*25

A= 78.55 in^2

Area of pizza box= L^2

A= 14^2

A= 196 in^2

Hence the empty space is

=196-78.55

=117.45 in^2

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.