1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liq [111]
3 years ago
15

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triang

les have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded. What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2

Mathematics
2 answers:
otez555 [7]3 years ago
5 0

Answer:

The third one

Step-by-step explanation:

Rashid [163]3 years ago
3 0

Answer:

Area of Shaded Region = (25π - 24) cm²

Step-by-step explanation:

See attachment

From the attached, the following observations are made;

Radius, r = 5cm

Base of triangles = 6cm.

Required

Area of shaded region.

If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius

Height = 5cm - 1cm

Height = 4cm

To calculate the area of the shaded region, we first calculate the area of the circle.

Area = πr²

Substitute 5 for r

Area = π * 5²

Area = π * 25

Area = 25π cm²

Then we calculate the area of both triangles

Area of 1 triangle is calculated as follows.

Area = ½ * base * height

Substitute 4 for height and 6 for base.

Area = ½ * 4 * 6

Area = 2 * 6

Area = 12cm²

Since both triangles are equal.

Area of two triangles = 2 * Area of 1 triangle

Area = 2 * 12cm²

Area = 24cm²

Having calculated the area of the circle and that of both triangles.

Area of shaded region = Area of Circle - Area of Triangles

Area of Shaded Region = 25π cm² - 24 cm²

Area of Shaded Region = (25π - 24) cm²

You might be interested in
Marian is making bread, she has 2 4/7 pounds of flour in her pantry. When making the bread, she will use ⅓ of the flour in the p
Artist 52 [7]

Answer:

1/9 im pretty sure

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Translate this phrase into an algebraic expression.
wariber [46]

Answer:

17+2g

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the name of this shape?​
Sergeeva-Olga [200]

Answer:

this shape consists of a square and triangle

7 0
3 years ago
Read 2 more answers
A semicircle is attached to the side of a rectangle as shown.
laiz [17]

Answer:

58.8\ mm^2

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

A=bh

where

b=9\ mm\\h=3\ mm

substitute

A=(9)(3)=27\ mm^2

step 2

Find the area of semicircle

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

we have

r=9/2=4.5\ mm ---> the radius is half the diameter

\pi =3.14

substitute

A=\frac{1}{2}(3.14) (4.5)^{2}

A=31.8\ mm^2

step 3

Find the area of the figure

A=27+31.8=58.8\ mm^2

4 0
3 years ago
Read 2 more answers
How would you prove this trigonomic identity? Please show steps.
Agata [3.3K]

Start by combining the fractions:

\dfrac{\cos\alpha}{1+\sin\alpha}\cdot\dfrac{1-\sin\alpha}{1-\sin\alpha}+\dfrac{\cos\alpha}{1-\sin\alpha}\cdot\dfrac{1+\sin\alpha}{1+\sin\alpha}

\dfrac{\cos\alpha(1-\sin\alpha)+\cos\alpha(1+\sin\alpha)}{(1+\sin\alpha)(1-\sin\alpha)}

\dfrac{2\cos\alpha}{1-\sin^2\alpha}

Recall the Pythagorean identity:

\dfrac{2\cos\alpha}{\cos^2\alpha}

Then cancel a factor of \cos\alpha and use the definition of secant:

\dfrac2{\cos\alpha}=\boxed{2\sec\alpha}

4 0
3 years ago
Other questions:
  • What’s the perimeter of the square in inches
    14·1 answer
  • H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions?
    8·1 answer
  • Vermont had 3 inches of snow on the ground before the sun melted 2 inches. The next storm tripled the amount on the ground. The
    9·1 answer
  • Find values of a and b that make the following equality into identity:
    12·1 answer
  • An investment of $1,800 in the stock market
    8·1 answer
  • UHHHH...... I THINK IT UHHH CARROT.... YUH YUH I THINK ITS A CARROT
    15·1 answer
  • Need help asap!!!!!!!!!!!!!!!!!
    8·1 answer
  • {75-[(15 entre 3)x(2x5)+2]}-2<br> How
    6·1 answer
  • Which lizard is growing at a constant rate?<br> A.Chuck<br> B.Betty<br> C.<br> Snapper<br> D.Rocky
    5·2 answers
  • Identify the imaginary part of the number.<br> 5<br> A)5i<br> B)5<br> C)0<br> D)1<br> E)I
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!