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3 years ago

The diameter of a circle is 11 m. Find its area to the nearest tenth.

Mathematics

1 answer:

aliya0001 [1]3 years ago

3 0

Answer:

95.0 m²

Step-by-step explanation:

The formula for the area of a circle of radius r is A = πr².

Here the diameter is given and is 11 m; therefore the radius is r = (11/2) m.

Thus, the area of this circle is

A = πr² = π(11/2 m)² = π(121/4) m², or approx. 95.0 m²

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Answer:

$\left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81$

Step-by-step explanation:

Considering the expression

$\left(3+x\right)^4$

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$\left(3+x\right)^4$

$\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

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$\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2:\quad 54x^2$

$\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3:\quad 12x^3$

$\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4:\quad x^4$

so equation becomes

$=81+108x+54x^2+12x^3+x^4$

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