Find the area of the figure. If necessary, round to the
nearest tenth.
2 cm
The area of the partial circle is
cm2.

area of the partial circle is

9.42 cm²

Step-by-step explanation:

The partial circle is a sector. Since the central angle of the sector that is cut off is 90 degrees, then the central angle of the partial circle is 360 - 90 = 270 degrees

To determine the area, we would apply the formula for determining the area of sector which is expressed as

Area = θ/360 × πr²

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

r = 2 cm

θ = 270 degrees

Area = 270/360 × 3.14 × 2² =

9.42 cm²

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)