All categories

3 years ago

Find the are of the blue shaded region.

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

Answer:

area = 73.37 cm²

Step-by-step explanation:

area of circle:

A = π5² = 78.5 cm²

area of 80° segment:

(80/360)(78.5) = 17.44 cm²

area of isosceles triangle w/ 5 cm legs and 80° angle:

sin 40° = b/5

0.6428 = b/5

b = 3.214

base = 2(3.21) = 6.43 (we only figured for one-half of the base)

cos 40° = h/5

0.7660 = h/5

height = 3.83

A = 1/2(6.43)(3.83) = 12.31 cm²

area of unshaded part:

17.44 - 12.31 = 5.13 cm²

area of total shaded part:

78.5 - 5.13 = 73.37 cm²

Firdavs [7]3 years ago

6 0

Answer:

25π

Step-by-step explanation:

i hope u hav a gud day ^_^

You might be interested in

Which is equivalent to 38*? O & 3 O O 8x 08 * اسیا 83x

Sophie [7]

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

8 0

3 years ago

PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of

Pachacha [2.7K]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$