As shown in the figure on the right, the area of a circle is equal to the area of a rectangle. The circumference of a circle is 25.12 decimeters, and the length of a rectangle is 25______ Decimeter

As shown in the figure on the right, the area of a circle is equal to the area of a rectangle. The circumference of a circle is 25.12 decimeters, and the length of a rectangle is 25______ Decimeter


The length of a rectangle is 12.56 decimeters



In the figure below, the circumference of the circle is 25.12 cm. Calculate the area of the figure


The radius of the circle is: 25.12 △ 3.14 △ 2, = 8 △ 2, = 4 (CM); the area of the circle is: 3.14 × 42 = 3.14 × 16, = 50.24 (square cm); answer: the area of the figure is 50.24 square cm



As shown in the figure, given that the bottom radius of the cone is 3, the length of the generatrix is 9, and C is the midpoint of the generatrix Pb, find the shortest distance from point a to point C on the side of the cone


If the circumference of the bottom surface of a cone is 6 π, then 6 π = n π × 9180, the solution is n = 120 degrees, that is, the center angle of the cone side development is 120 degrees. ∧ APB = 60 degrees, ∧ PA = Pb, ∧ PAB is an equilateral triangle, ∧ C is the midpoint of Pb, ∧ AC ⊥ Pb, ∧ ACP = 90 degrees; The shortest distance of point C on the side of the cone is 932cm



As shown in the figure, the minimum distance from point B around its surface to point B is


Let the center angle of the sector be x ° in the expanded side view of the cone
2π·2=xπ·12/180
∴4π=24πx/180
That is, x = 60
In the expanded side view of the cone, the center angle of the sector is 60 degrees
The shortest path from B to B is: the center angle of the circle is 60 ° sector, and the Xuan contained in it is 12
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The length of the conical generatrix is 6cm, the diameter of the bottom surface is 3cm, and there is a point B on the generatrix SA, ab = 2cm. Then the shortest distance from point a to point B is___ .


Let SAA 'be the expanded side view of a cone, then the shortest distance from point a to point B is Ba' ∵ {ASA '= 2 π RSA = π 2, sb = sa-ab = 4, SA = 6 ∵ AB = 213 (CM), and the shortest distance from point a to point B is 213cm



Given that the radius of the bottom of the cone is 6cm and the length of the generatrix is 12cm, then the degree of the central angle of the side opening figure of the cone is?


The circumference of the circle is 12 π, then the formula 80L = n π R / 180 ° is brought in to get 12 π = n × 12 × π / 180 ° and N = 180 is calculated



It is known that in the cone so, the radius of the bottom surface r = 1, the length of the generatrix L = 4, M is a point on the generatrix SA and SM = X. pull a rope from point m and turn around the side of the cone to point A. (1) find the square of the shortest length of the rope f (x); (2) find the shortest time of the rope, the shortest distance from the fixed point s to the rope; (3) find the maximum value of F (x)


(1) ∵ the radius of the bottom surface r = 1, the length of the generatrix L = 4, and the center angle of the side unfolding sector α = RL × 360 ° = 90 ° therefore, the side of the cone is unfolded into a sector, and a rope is pulled from point m to turn around the side of the cone to point a. the shortest distance is RT △ ASM. The length of the hypotenuse am is