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2 years ago

Can someone help me with this

Mathematics

2 answers:

Elza [17]2 years ago

5 0

$\huge \bf༆ Answer ༄$

<h3>Question 1 : </h3>

$\sf \sqrt{5 {}^{9} }$

$\sf{(5 {}^{9} ) }^{ \frac{1}{2} }$

$\sf {5}^{ \frac{9}{2} }$

<h3>Question 2 : </h3>

$\sf \dfrac{1}{ \sqrt[3]{12} }$

$\sf \dfrac{1}{12 {}^{ \frac{1}{3} } }$

$12 {}^{ - \frac{1}{3} }$

Firlakuza [10]2 years ago

3 0

Ok done. Thank to me :>

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The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

Rom4ik [11]

Answer:

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

Step-by-step explanation:

This figure is a combination of two semi-circles.

One having diameter of 2 inches i.e. AD
Other having diameter of 4 inches i.e. AC

$\pi ={\frac {C}{d}}$

${{{C}}}=\displaystyle \pi.d$

Perimeter of the big figure could be computed by cutting the perimeters of each circle in half, and then combing them together.

Area could be computed using the same way.

<u>Calculating the Perimeter:</u>

As the circumference of the smaller circle is 2π in. Cutting it half would yield the circumference of the smaller semi-circle i.e. π.

As the circumference of the bigger circle is 4π in. Cutting it half would yield the circumference of the bigger semi-circle i.e. 2π.

As the length of the segment DC is 2 in.

So, the total perimeter would be: π + 2π + 2 = 3π + 2 in

<u>Calculating the Area</u>

Area could be computed using the same way as we did during measuring perimeter.

As the area of circle is

$A={\displaystyle \pi.r^{2}$

As we are dealing with semi-circles. So, cutting the diameters of two semi-circles in half can let us find the radii of them.

So,

Smaller semi-circle has 1 in radius
Larger semi-circle has 2 in radius

Areas would have to be cut in half as well, as we are dealing with semi-circles.

So,

For smaller:

$A_{small} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi.(1)^{2}$

$A_{small} =\frac{1}{2} {\displaystyle \pi$

Hence, the area of smaller will be: π/2 in²

For larger:

$A_{larger} =\frac{1}{2} {\displaystyle \pi.r^{2}$

$A_{larger} =\frac{1}{2} {\displaystyle \pi.(2)^{2}$

$A_{larger} =2 \pi^{}$

Hence, the area of larger will be: 2π in²

Combining them together:

$\frac{1}{2} {\displaystyle \pi^{} + 2 {\displaystyle \pi^{}=\frac{5}{2} {\displaystyle \pi^{}$

Therefore,

The area of the figure will be 5π/2 in².
The perimeter will be 3π + 2 in

<em>Keywords: radius, area, perimeter, semi-circle, circle, diameter, circumference of circle</em>

<em>Learn more about circle measurements from brainly.com/question/3855576</em>

<em>#learnwithBrainly</em>

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