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AURORKA [14]
3 years ago
12

A sector of a circle has a central angle of 60°. find the area of the sector if the radius of the circle is 6 mi.

Mathematics
1 answer:
professor190 [17]3 years ago
8 0
The entire circle has a central angle of 360°.
Because the radius is 6 mi, the area of the circle is
π(6)² = 36π mi².

The sector has a central angle of 60°, therefore it occupies 60/360 = 1/6 of the area of the circle.
The area of the sector is
(1/6)*36π = 6π mi² = 18.85 mi²

Answer: 6π mi²  or  18.85 mi².

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Let x be the brick portion of the wall
Since x is 2/3 of the wall
Then x= (2/3)(2 3/4)
x= 11/6 = 1 5/6
So the brick portion of the wall is 1 5/6 feet

Note: that's not 15/6, it's a mixed fraction which is 1 + 5/6.. just to let you know
8 0
3 years ago
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What i
pochemuha

Answer:

A

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Solve for x: (4x + 15) = 24
Goshia [24]

Answer:

x=9/4

Step-by-step explanation:

we have:

(4x + 15) = 24

4x=24-15

4x=9

finally: x=9/4

3 0
3 years ago
in the circl below, AD is diameter and AB is tangent at A. Suppose mADC=228*, find the measures of mCAB and mCAD. Type your nume
Andrew [12]

Given:

AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.

To find:

The m\angle CAB and m\angle CAD.

Solution:

AD is diameter of the circle. So, the measure of arc AD is 180 degrees.

m(arcADC)=m(arcAD)+m(arcDC)

228^\circ=180^\circ+m(arcDC)

228^\circ-180^\circ+=m(arcDC)

48^\circ+=m(arcDC)

The measure inscribed angle is half of the corresponding subtended arc.

m\angle CAD=\dfrac{1}{2}\times m(arcDC)

m\angle CAD=\dfrac{1}{2}\times 48^\circ

m\angle CAD=24^\circ

AB is the tangent. So, m\angle BAD=90^\circ because radius is perpendicular on the tangent and the point of tangency.

m\angle BAD=m\angle CAB+m\angle CAD

90^\circ=m\angle CAB+24^\circ

90^\circ -24^\circ=m\angle CAB

66^\circ=m\angle CAB

Therefore, m\angle CAB=66^\circ and m\angle CAD=24^\circ.

4 0
3 years ago
What is the compatable number of 358/3
Fudgin [204]
Round 358 to the nearest 5 or 10, which would be 360. 360/3=120 so the compatible number would be 120. 
5 0
4 years ago
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