![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
A chord is divided into two parts: 1:4. Find the degree of the circumference angle of the chord
The central angle of a circle is two radians, that is 360 degrees, and the angle of one degree (angle system) is equal to the central angle of the circle opposite to the arc length of 1 / 360 of the circumference of the circle. In the question, 1:4 is equal to five equal parts of the circle, so the central angle of every arc is 360 / 5, that is 72 degrees, and the circular angle of the same chord on the circle is equal to half of the central angle, so it should be 36 degrees
A chord has a circumference of 5:7. The degree of the angle of the circumference that the chord faces
75 105 or 150 210
Write down the process. Thank you
75 degrees or 105 degrees
The degree of the central angle of the chord is (360 / 12) × 5 = 150 degrees or (360 / 12) × 7 = 210 degrees
So the degree of the circumference angle of the chord is 75 degrees or 105 degrees
RELATED INFORMATIONS
- 1. If a chord of a circle is known to divide the circle into two parts of 1:3, then the degree of the angle of the circle to which the chord is directed is______ ．
- 2. Why are the same chords complementary to each other? How to prove the complementarity or equality of the circle angles of the same chord?
- 3. P is a point out of plane a. the angle difference between PA, Pb and plane a is π / 4. Their projective lengths in plane are 2 and 12 respectively. The distance from P to plane is
- 4. As shown in the figure, PA ⊸ o is in the plane, AB is the diameter of ⊙ o, C is the point on ⊙ o, and E.F is the point a in the plane PB.PC The following conclusions are given: 1, AF ⊥ Pb; 2, EF ⊥ Pb; 3, AF ⊥ BC; 4, AE ⊥ plane PBC, where the sequence number of the correct proposition is
- 5. If PA = 8, Pb = 5 and OA: OB = 4: √ 3, then the distance from point P to plane a is equal to
- 6. PA, Pb and PC are three rays from P, and the angle between each two rays is 60 degrees. So what is the cosine of the angle between PC and PAB? Which is the angle between PC and PAB and why A proof of the angle between line PC and plane PAB
- 7. We know that the line AB = 8, and there is a point P on the plane. (1) if AP = 5, what is Pb equal to, P is on the line AB?
- 8. PA, Pb and PC are three rays starting from point P. the angle between each two rays is 60 degrees. Then the cosine of the angle between PC and PAB is () A. 12B. 22C. 33D. 63
- 9. Point P is on the vertical bisector of line AB, PA = 7, then Pb=______ ．
- 10. Know a (2,1), B (1,3), find a point P on the x-axis, so that the value of PA + Pb is the minimum, then what is the minimum value?
- 11. If the distance from the center O to the chord AB is a, then the diameter of O is a
- 12. Given the set a = {x | - 5 ≤ x ≤ 3}, B = {y | = a-2x-x & sup2;}, where a ∈ R, if a is contained in B, find the range value of real number a RT
- 13. We know that set a = {x 3} and set B = {x 4x + M
- 14. Given the set a = {a, a + D, a + 2D}, B = {a, AQ, AQ & sup2;}, (a is a known constant), if a = B, find the value of D, Q
- 15. If the solution set of inequality MX2 + MX-1 > 0 about X is an empty set, the value range of real number m is obtained
- 16. A polynomial Plus + x2y-3xy2 gives the third power of x-3x2y. This polynomial is
- 17. The following polynomials can be decomposed by complete square A.x²+1 B.x²+2x-1 C.x²+x+1 D.x²+4x+4 What is the factorization of the following polynomials in Liangshan in 2012 A.x²+y² B.-x²-y² C.-x²+2xy-y² D.x²-xy+y²
- 18. As shown in the figure, in the right angle trapezoid ABCD, ad ‖ BC, ab ⊥ BC, ∠ DCB = 75 °, the other vertex e of equilateral △ DCE with CD as one side is on the waist ab. (1) calculate the degree of ∠ AED; (2) prove: ab = BC
- 19. In the trapezoidal ABCD, AD / / BC, e is the midpoint of waist AB, de ⊥ CE
- 20. If point P is a point in the cube abcd-a'b'c'd 'with edge length 1 and AP = 3 / 4AB + 1 / 2ad + 2 / 3AA', then the distance from point P to edge length AB is_________