All categories

2 years ago

Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.

1 answer:

8 0

The area of the circle is calculated through the equation,
A = πr²
where A is the area and r is the radius. An alternate equation can be used,
A = πD²/4
where D is the diameter.

Substituting the known value to the equation,
A = π(9.1 cm)² / 4
A = 65.03 cm²

The area of the sector, As, is calculated by multiplying the area of the circle by the ratio of the angle to the whole revolution.
As = (65.03 cm²) x (170°/360°)
<em>As = 30.71 cm²</em>

The answer to this question is therefore letter B.

You might be interested in

234% as a simplifed fraction

blagie [28]

Answer:

So, /(100÷2) = 117/50 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 234/100 is also equal to 2 17/50 when expressed as a mixed number.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3x² + 2x + 2 + 4x² + 5 Simplify

Natalka [10]

Answer: 7x^2 + 2x + 7

Step-by-step explanation:

Combine likes terms that have alike variables and alike exponents.

(3x^2 + 4x^2) + (2x) + (2 + 5)

7x^2 + 2x + 7

6 0

3 years ago

A linear function is graphed below.

Evgen [1.6K]

Answer:

$-1\frac{1}{2}$

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

$\frac{y^2-y^1}{x^2-x^1}}$

To understand what the variables are, you can take this :

$(x^1,y^1)$

$(x^2,y^2)$

Substitute the points :

$(-1,4)$

$(5,-5)$

Now substitute it into the formula :

$\frac{-5-4}{5-(-1)}$

$\frac{-3}{2}$

$-1\frac{1}{2}$

4 0

3 years ago

Read 2 more answers

The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actu

KengaRu [80]

I will say 42, I am sorry if I am incorrect.

4 0

2 years ago

Read 2 more answers

Mia is "helping" her mom pick up 27 toys that are strewn on the floor. Mia's mom puts five toys into the toy box every 40 second

dedylja [7]

Answer:

8 min

Step-by-step explanation:fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff :)

5 0

2 years ago