Questions on Geometry: Geometric formulas answered by real tutors!

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Question 1194228: Find the approximate circumference (in centimeters) and area (in square centimeters) of a circle whose diameter has length 60 cm. Use 𝜋 ≈ 3.14
Click here to see answer by ikleyn(52788)

Question 1194229: The central angle corresponding to a circular brake shoe measures 60°. To two decimal places, how long (in inches) is the curved surface of the brake shoe if the length of the radius is 9 in.?
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Question 1194226: Assuming that the exact area of a sector determined by a 40° arc is
9/25 𝜋 cm2,
find the length (in centimeters) of the radius of the circle.
Click here to see answer by ikleyn(52788)

Question 1194213: Find the area in square units
A figure consists of eight sides that are vertical or horizontal. Each pair of adjacent sides meet at a right angle. Starting with the top left corner and traveling clockwise, the sides are as follows.
The first side goes right. It is labeled 6.
The second side goes down.
The third side goes right.
The fourth side goes up. It is the same length as the second side.
The fifth side goes right. It is labeled 2.
The sixth side goes down. It is labeled 9.
The seventh side goes left. It is labeled 16. The vertical distance between this side and the third side is labeled 3.
The eighth side goes up and ends where the first side starts.
Click here to see answer by greenestamps(13200)

Question 1194248: Find the exact area of the square in square inches. whose radius is 14.

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Question 1194246: The central angle corresponding to a circular brake shoe measures 60°. To two decimal places, how long is the curved surface of the brake shoe if the length of the radius is 9 in.?
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Question 1194245: Find the exact circumference in inches and area in square inches of a circle whose diameter has length 16 in
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Question 1194249: Find the exact perimeter (in centimeters) and area (in square centimeters) of the sector whose lengths are 16cm and radius is 135 degrees
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Question 1194251: In the regular pentagonal pyramid, each lateral edge measures 11 in., and each base edge measures 7 in. The apothem of the base measures 4.8 in.
Find the lateral area (in square inches) of the pyramid.
Find the total area (in square inches) of the pyramid.
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Question 1194250: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 6 m, and 7 m. The altitude is 9 m.
Find the total area (in square meters) of the prism. (Round your answer to three decimal places.)
Find the volume (in cubic meters) of the prism. (Round your answer to three decimal places.)
Click here to see answer by MathLover1(20850)

Question 1194252: A church steeple in the shape of a regular square pyramid needs to be reshingled. Before the shingles of the steeple are replaced, an exhaust fan is to be installed in the steeple. Each lateral edge measures 15 ft and each base edge measures 18 ft.
Find the slant height of the lateral faces of the regular square pyramid
Find the exact altitude of the regular square pyramid.
Find the area of the base of the regular square pyramid
Find the volume of the regular square pyramid

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Question 1194253: For the accompanying right circular cone, h = 8 m and r = 3 m.
Find base area in exact and approximate meters
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Question 1194254: For a sphere whose radius has length 4 m, find the approximate surface area in square meters and approximate volume in cubic meters.
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Question 1194230: Assuming that a 90° arc has an exact length of 5𝜋 in., find the length of the radius of the circle in inches
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Question 1193017: 5.Prove theorem 1.1.4. The steps in the proof are already given: you just have to supply the reasons for each step.
Theorem 1.1.4. If two lines intersect, then their union lies in exactly one plane.
Proof: Let and be two intersecting lines.
a. A ∩ B is a point p.
b. B contains a point q ≠ p.
c. There is a plane E, containing A and q.
d. E contains A ∪ B.
e. No other plane contains A ∪ B.''.
Click here to see answer by shlomitg(8)

Question 1194934: A pentagon is formed by adjoining a square to the base of an isosceles triangle. If the legs of the triangle have length 5 and the pentagon has perimeter 34, what is the area of the pentagon?
Click here to see answer by greenestamps(13200)

Question 1194958: 2, 4 , 6, 8 , Explicit formula?
2, 6, 18, 54, Explicit formula?
3, 6, 12, 24, Explicit formula?
2, 3, 4.5, 6.75 Explicit formula?

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Question 1194957: 9, 3, 1, 1/3 Explicit formula
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Question 1194981: Two parallelepipeds have equal bases. If the altitude of one is 6 inches, and the altitude of the other is 8 inches, compare their volumes.
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Question 1194980: 1. The altitude of a regular square pyramid is three times its base edge.
The volume of the pyramid is 64 cu.cm. Find the length of the base edge of the pyramid.
2. What is the volume of the largest pyramid that can be cut froma blockk of cubical wood of edge 8 cm.
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Question 1196423: Let A=(6,0), B=(0,8), and C=(0,0). In triangle, ABC let F be the point of intersection of the altitude drawn from C to side AB.
a. Explain why the angles of triangles ABC, CBF, and ACF are congruent
b. Find the coordinates of F and use them to calculate the exact lengths of FA, FB, and FC.
c. Compare the sides of triangle ABC with sides ACF. What do you notice?

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Question 1196524: Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x,
find DE
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Question 1196524: Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x,
find DE
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Question 1197233: Find the value of sin (arc cos 1/2 + arc tan 1)
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Question 1197504:
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Question 1198186: A billiard ball with a mass of 1.5 kg is moving at 25 m/s and strikes a second ball with a mass of 2.3 kg that is motionless. Find the velocity of the second ball if the first ball stops when it strikes the
second ball.

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Question 1199160: m EAB 60° sulotion

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Question 1199562: Endpoint: (9,-10) , midpoint: (4,8)
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Question 1201106: A vertical aerial AB 9.6m high stands on ground which is inclined 12 degrees to the horizontal. A stay connects the top of the aerial A to a point C on the ground 10m downhill from B the foot of the aerial. Determine the length of the stay and the angle the stay makes with the ground.
Click here to see answer by mananth(16946)

Question 1201107: A surveyor standing W 25 degrees S of a tower measures the angle of elevation of the top of the tower as 40 degrees 30. From a position E 23 degrees S from the tower the l elevation of the top is 37 degrees 15. Determine the height of the tower if the distance between the two observations is 75m.
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Question 1201368: x+1/x+3- x-1/x+5=x(x+1)+12/x(x+8)+15
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Question 1201368: x+1/x+3- x-1/x+5=x(x+1)+12/x(x+8)+15
Click here to see answer by ikleyn(52788)

Question 1201412: In a geometric series the seventh term is 1458, the ninth terms 13122. Find the second term algebraically
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Question 1201412: In a geometric series the seventh term is 1458, the ninth terms 13122. Find the second term algebraically
Click here to see answer by ikleyn(52788)

Question 1201412: In a geometric series the seventh term is 1458, the ninth terms 13122. Find the second term algebraically
Click here to see answer by math_tutor2020(3817)

Question 1201455: periodical cicadas are insects that emerge as adults the same year. one species that appears every 17 years emerge in large numbers in 1995 in parts of Eastern North America. write a sequence to represent the next 5 years the cicadas are expected to appear. create a rule to determine the nth term of your sequence. determine and explain the meaning of t20
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Question 1201456: Find the sum of the first 103term of 18,26,34. .
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Question 1201456: Find the sum of the first 103term of 18,26,34. .
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Question 1201479: general formula for -18, -16,-14
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Question 1201458: write the following using sigma notation and find the sum 11,4,-3,-10,....,-143
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Question 1201696: D is the midpoint of CE. If CD = 4x and DE = x + 9, what is CD?

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Question 1201823: Deon rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 74 cents for each mile driven. Deon had to pay when he returned the truck. For how many miles did he drive the truck?

Click here to see answer by Alan3354(69443)