Q1 of 28 Page 4

Find the degree measure corresponding to the following radian measures (Use π =)

(i) (ii) - (iii) c (iv) (-3)c (v) 11c (vi) 1c

We know that π rad = 180° ⇒ 1 rad = 180°/ π


(i) Given



= (36 × 9) °


= 324°


(ii) Given



= (30 × -5) °


= -(150) °


(iii) Given



= (36 × 18) °


= 648°


(iv) Given (-3) c









= -(171° 49’ 5.45”)


≈ -(171° 49’ 5”)


(v) Given 11c




= (90 × 7) °


= 630°


(vi) Given 1c









= (57° 16’ 21.81”)


≈ (57° 16’ 22”)


More from this chapter

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2

Find the radian measure corresponding to the following degree measures:

(i) 3000 (ii) 350 (iii) -560 (iv)1350 (v) -3000


(vi) 70 30’ (vii) 1250 30’ (viii) -47o 30’

 3

The difference between the two acute angles of a right-angled triangle is 2π/5 radians. Express the angles in degrees.

 4

One angle of a triangle is grades, and another is degrees while the third is radians. Express all the angles in degrees.

 5

Find the magnitude, in radians and degrees, of the interior angle of a regular:

(i) Pentagon (ii) Octagon (iii) Heptagon (iv) Duodecagon.