All categories

3 years ago

If the radius of the circle is 12 inches, the area of the sector contained by the minor arc and two radii is what?

Mathematics

1 answer:

earnstyle [38]3 years ago

8 0

Answer:

113.14 Inches²

Step-by-step explanation:

The area of a sector A contain by the minor arc of a circle is given as

A = Ф°/360 * πr²

Where Ф is the angle formed in the arc, π is a constant given as 22/7 and r is the radius of the circle.

Given that the minor arc is contained by two radii, the angel between them is 90° hence, the area of the arc

= 90/360 * 22/7 * 12²

= 113.14 Inches²

You might be interested in

The rectangle below has an area of x^2-25x 2 −25 square meters and a length of x+5x+5 meters. What expression represents the wid

iris [78.8K]

Answer: x - 5

Step-by-step explanation:

Since, the area of the rectangle = $x^2 - 25=(x+5)(x-5)$

Length of the rectangle = x+5

Let the width of the rectangle = b

Thus, the area of the rectangle = $(x+5)\times b$

⇒ $(x+5)\times b=(x+5)(x-5)$

⇒ $b=\frac{(x+5)(x-5)}{(x+5)}$

⇒ $b=x-5$

Therefore, the expression that shows the width of the rectangle = x-5

3 0

3 years ago

Help on 7 and 8b please and thank you.

andreev551 [17]

7)
$total \: increase \: for \:sides \: of \: the \: equillateral \: triangle = 3 \times 5cm = 15cm \\ perimeter \: of \: an \: equillateral \: triangle = 3 \times length \: of \: one \: side \\ originl \: perimeter = incresed \: perimeter - increase = 60cm - 15cm = 45cm \\ one \: side \: of \: the \: equillateral \: triangle = 45cm \div 3 = 15cm$
8b)
$let \: x \: represent \: the \: amount \: each \: person \: has \: in \: the \: end. \\ 40 - 4(7.50) = 4x \\ 40 - 30 = 4x \\ 10 = 4x \\ 4x = 10 \\ x = 10 \div 4 \\ x = 2.5 \\ each \: boy \: has \: 2.50 \: in \: the \: end$

8 0

4 years ago

A silver chain has 100 links. Each link is made of thin silver wire and is in the shape of a circle of radius 2,5 cm. Find the v

Tamiku [17]

Number of links = 100

Shape of each link = Circle

Radius = 2.5

Area = πr²

= 3.14×2.5×2.5

= 19.625

Now for 100 links

19.625×100

1962.5Cm²

Cost = 1962.5 × 0.06

= $117.75

Must click thanks and mark brainliest

4 0

3 years ago

Find the volume of the tank below. * PLEASE ANSWER ASAP *

Semenov [28]

Answer:

Step-by-step explanation:

pie multiply 2 sq. 2 multiply with 5

4 0

4 years ago

suppose that x and y vary inversely and x=1 when y=12. write a function that models the inverse variation. graph the function an

larisa [96]

Answer:

y=12/x

Step-by-step explanation:

if y=12, and x=1 so

general formula y=12/x

for x=5 , y=12/5=2.4

you can graph by ploting points such as (1,12), (5, 2.4),...

6 0

3 years ago