All categories

3 years ago

Find the area of the shape.

Mathematics

1 answer:

mars1129 [50]3 years ago

8 0

Answer:

27π units²

Step-by-step explanation:

The rest of the question is the attached figure.

This shape represents (3/4) of a full circle.

So, find the area of a full circle with radius 6 units, then multiply the result by 3/4 to obtain the area of the given shape.

Area of full circle = π r²

So, Area of full circle = π(6)² = 36π units²

Then the area of the given shape is = (3/4)(36π) = 27π units²

You might be interested in

This trapezium is drawn on a centimetre grid. Find the area of the trapezium.

aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

$\rm\implies Side_1 = 7 \ units$

$\rm\implies Side_2 = 3 \ units$

$\rm\implies \perp \ Distance =4 \ units$

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

$\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}$

3 0

3 years ago

2 1/3 + 3/7 divided by 2 1/3 x 1 3/7

oee [108]

Answer: $\frac{29}{35}$

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2 $\frac{7}{21}$ + $\frac{9}{21}$ / 2 $\frac{7}{21}$ * 1 $\frac{9}{21}$

2. Now, I would go and solve each side of the equation because we divide them, we can add 2 $\frac{7}{21}$ and $\frac{9}{21}$ together to get 2 $\frac{16}{21}$ , because 7 + 9 = 16

2 $\frac{16}{21}$ / 2 $\frac{7}{21}$ * 1 $\frac{9}{21}$

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2 $\frac{7}{21}$ becomes $\frac{49}{21}$ and 1 $\frac{9}{21}$ becomes $\frac{30}{21}$

$\frac{49}{21}$ * $\frac{30}{21}$

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us $\frac{7}{3}$ and the second one by 3, which gives us $\frac{10}{7}$

$\frac{7}{3}$ * $\frac{10}{7}$ now we cross divide, where we replace the 7's with ones because they're right across from each other to get $\frac{1}{3}$ and $\frac{10}{1}$ , or just 10.

$\frac{1}{3}$ * 10 = $\frac{10}{3}$

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

$\frac{58}{21}$ / $\frac{10}{3}$

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so $\frac{58}{21}$ * $\frac{3}{10}$ which if we multiply both sides, you get $\frac{174}{210}$