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**The angle of a sector of a circle**** of ****radius 10.5cm is 48°, Calculate the perimeter of the sector**

**A.**** 8.8cm**

**B.**** 25.4cm**

**C.**** 25.6cm**

**D.**** 29.8cm**

**QUICK ANSWER…**

**D**

**DETAILS…**

**If t****he angle of a sector of a circle**** of ****radius 10.5cm is 48°, the perimeter of the sector**** will be = 29.7979cm**

**Perimeter of a sector = length of arc + 2r**

**Where r = radius of the circle.**

**Now, lets find the length of arc of the sector.**

**Length of arc = θ/360 × 2πr**

**Length of arc = 48/360 × 2 × 3.142 × 10.5**

**Length of arc = 8.7979cm**

**Therefore, perimeter of the sector = 8.7979 + 2 × 10.5**

**perimeter of the sector = 8.7979 + 21 = 29.7979 = 29.8cm**

**Now for the right answer to the above question:**

**Option A is incorrect.****Option B is not correct.****C is incorrect.****D is the correct answer.**

**KEY-POINTS…**

**You may please note these/this:**

**Perimeter of a sector of a circle = length of arc + 2r.****Length of arc =****θ/360 × 2πr.**

**If you love our answers, you can simply join our community and also provide answers like this, fellow learners like you will appreciate it.**

**/ culled from 20****21**** JAMB-UTME**** MATHEMATICS**** question**** 17 ****/**